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Finding the Fourth Proportional to 2,337.10, 3,505.20 and 693.70

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Solution

The fourth proportional to 2,337.10, 3,505.20 and 693.70 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.10 : 3,505.20 = 693.70 : x
  2. Step 2: Convert to fraction form
    2,337.10/3,505.20 = 693.70/x
  3. Step 3: Cross multiply
    2,337.10x = 3,505.20 × 693.70
  4. Step 4: Simplify right side
    2,337.10x = 2,431,557.24
  5. Step 5: Solve for x
    x = 2,431,557.24/2,337.10
  6. Step 6: Final answer
    x = 1,040.42

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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.