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Finding the Fourth Proportional to 2,547.40, 3,821.10 and 816.20

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Solution

The fourth proportional to 2,547.40, 3,821.10 and 816.20 is: 1,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.40 : 3,821.10 = 816.20 : x
  2. Step 2: Convert to fraction form
    2,547.40/3,821.10 = 816.20/x
  3. Step 3: Cross multiply
    2,547.40x = 3,821.10 × 816.20
  4. Step 4: Simplify right side
    2,547.40x = 3,118,781.82
  5. Step 5: Solve for x
    x = 3,118,781.82/2,547.40
  6. Step 6: Final answer
    x = 1,224.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.