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Finding the Fourth Proportional to 2,331.40, 3,497.14 and 600.04

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Solution

The fourth proportional to 2,331.40, 3,497.14 and 600.04 is: 900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.40 : 3,497.14 = 600.04 : x
  2. Step 2: Convert to fraction form
    2,331.40/3,497.14 = 600.04/x
  3. Step 3: Cross multiply
    2,331.40x = 3,497.14 × 600.04
  4. Step 4: Simplify right side
    2,331.40x = 2,098,423.89
  5. Step 5: Solve for x
    x = 2,098,423.89/2,331.40
  6. Step 6: Final answer
    x = 900.07

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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.