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Finding the Fourth Proportional to 2,428.62, 3,641.12 and 784.20

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Solution

The fourth proportional to 2,428.62, 3,641.12 and 784.20 is: 1,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.62 : 3,641.12 = 784.20 : x
  2. Step 2: Convert to fraction form
    2,428.62/3,641.12 = 784.20/x
  3. Step 3: Cross multiply
    2,428.62x = 3,641.12 × 784.20
  4. Step 4: Simplify right side
    2,428.62x = 2,855,366.30
  5. Step 5: Solve for x
    x = 2,855,366.30/2,428.62
  6. Step 6: Final answer
    x = 1,175.72

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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.