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Finding the Fourth Proportional to 2,325.17, 3,487.79 and 593.80

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Solution

The fourth proportional to 2,325.17, 3,487.79 and 593.80 is: 890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.17 : 3,487.79 = 593.80 : x
  2. Step 2: Convert to fraction form
    2,325.17/3,487.79 = 593.80/x
  3. Step 3: Cross multiply
    2,325.17x = 3,487.79 × 593.80
  4. Step 4: Simplify right side
    2,325.17x = 2,071,042.47
  5. Step 5: Solve for x
    x = 2,071,042.47/2,325.17
  6. Step 6: Final answer
    x = 890.70

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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.