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Finding the Fourth Proportional to 2,345.47, 3,518.20 and 614.09

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Solution

The fourth proportional to 2,345.47, 3,518.20 and 614.09 is: 921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.47 : 3,518.20 = 614.09 : x
  2. Step 2: Convert to fraction form
    2,345.47/3,518.20 = 614.09/x
  3. Step 3: Cross multiply
    2,345.47x = 3,518.20 × 614.09
  4. Step 4: Simplify right side
    2,345.47x = 2,160,491.44
  5. Step 5: Solve for x
    x = 2,160,491.44/2,345.47
  6. Step 6: Final answer
    x = 921.13

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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.