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Finding the Fourth Proportional to 1,547.74, 2,135.87 and 884.62

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Solution

The fourth proportional to 1,547.74, 2,135.87 and 884.62 is: 1,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.74 : 2,135.87 = 884.62 : x
  2. Step 2: Convert to fraction form
    1,547.74/2,135.87 = 884.62/x
  3. Step 3: Cross multiply
    1,547.74x = 2,135.87 × 884.62
  4. Step 4: Simplify right side
    1,547.74x = 1,889,428.90
  5. Step 5: Solve for x
    x = 1,889,428.90/1,547.74
  6. Step 6: Final answer
    x = 1,220.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.