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Finding the Fourth Proportional to 1,712.32, 2,567.87 and 616.39

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Solution

The fourth proportional to 1,712.32, 2,567.87 and 616.39 is: 924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.32 : 2,567.87 = 616.39 : x
  2. Step 2: Convert to fraction form
    1,712.32/2,567.87 = 616.39/x
  3. Step 3: Cross multiply
    1,712.32x = 2,567.87 × 616.39
  4. Step 4: Simplify right side
    1,712.32x = 1,582,793.47
  5. Step 5: Solve for x
    x = 1,582,793.47/1,712.32
  6. Step 6: Final answer
    x = 924.36

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