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Finding the Fourth Proportional to 2,337.18, 3,506.46 and 693.78

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Solution

The fourth proportional to 2,337.18, 3,506.46 and 693.78 is: 1,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.18 : 3,506.46 = 693.78 : x
  2. Step 2: Convert to fraction form
    2,337.18/3,506.46 = 693.78/x
  3. Step 3: Cross multiply
    2,337.18x = 3,506.46 × 693.78
  4. Step 4: Simplify right side
    2,337.18x = 2,432,711.82
  5. Step 5: Solve for x
    x = 2,432,711.82/2,337.18
  6. Step 6: Final answer
    x = 1,040.87

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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.