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Finding the Fourth Proportional to 2,547.37, 3,821.06 and 698.50

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Solution

The fourth proportional to 2,547.37, 3,821.06 and 698.50 is: 1,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.37 : 3,821.06 = 698.50 : x
  2. Step 2: Convert to fraction form
    2,547.37/3,821.06 = 698.50/x
  3. Step 3: Cross multiply
    2,547.37x = 3,821.06 × 698.50
  4. Step 4: Simplify right side
    2,547.37x = 2,668,991.51
  5. Step 5: Solve for x
    x = 2,668,991.51/2,547.37
  6. Step 6: Final answer
    x = 1,047.74

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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.