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Finding the Fourth Proportional to 2,572.24, 3,859.62 and 1,598.08

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Solution

The fourth proportional to 2,572.24, 3,859.62 and 1,598.08 is: 2,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.24 : 3,859.62 = 1,598.08 : x
  2. Step 2: Convert to fraction form
    2,572.24/3,859.62 = 1,598.08/x
  3. Step 3: Cross multiply
    2,572.24x = 3,859.62 × 1,598.08
  4. Step 4: Simplify right side
    2,572.24x = 6,167,981.53
  5. Step 5: Solve for x
    x = 6,167,981.53/2,572.24
  6. Step 6: Final answer
    x = 2,397.90

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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.