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Finding the Fourth Proportional to 1,712.08, 2,567.49 and 616.15

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Solution

The fourth proportional to 1,712.08, 2,567.49 and 616.15 is: 924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.08 : 2,567.49 = 616.15 : x
  2. Step 2: Convert to fraction form
    1,712.08/2,567.49 = 616.15/x
  3. Step 3: Cross multiply
    1,712.08x = 2,567.49 × 616.15
  4. Step 4: Simplify right side
    1,712.08x = 1,581,958.96
  5. Step 5: Solve for x
    x = 1,581,958.96/1,712.08
  6. Step 6: Final answer
    x = 924.00

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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.