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Finding the Fourth Proportional to 2,337.18, 3,505.78 and 693.74

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Solution

The fourth proportional to 2,337.18, 3,505.78 and 693.74 is: 1,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.18 : 3,505.78 = 693.74 : x
  2. Step 2: Convert to fraction form
    2,337.18/3,505.78 = 693.74/x
  3. Step 3: Cross multiply
    2,337.18x = 3,505.78 × 693.74
  4. Step 4: Simplify right side
    2,337.18x = 2,432,099.82
  5. Step 5: Solve for x
    x = 2,432,099.82/2,337.18
  6. Step 6: Final answer
    x = 1,040.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.