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Finding the Fourth Proportional to 2,617.72, 3,929.91 and 1,697.13

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Solution

The fourth proportional to 2,617.72, 3,929.91 and 1,697.13 is: 2,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.72 : 3,929.91 = 1,697.13 : x
  2. Step 2: Convert to fraction form
    2,617.72/3,929.91 = 1,697.13/x
  3. Step 3: Cross multiply
    2,617.72x = 3,929.91 × 1,697.13
  4. Step 4: Simplify right side
    2,617.72x = 6,669,540.02
  5. Step 5: Solve for x
    x = 6,669,540.02/2,617.72
  6. Step 6: Final answer
    x = 2,547.85

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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.