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Finding the Fourth Proportional to 2,336.74, 3,502.27 and 1,102.71

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Solution

The fourth proportional to 2,336.74, 3,502.27 and 1,102.71 is: 1,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.74 : 3,502.27 = 1,102.71 : x
  2. Step 2: Convert to fraction form
    2,336.74/3,502.27 = 1,102.71/x
  3. Step 3: Cross multiply
    2,336.74x = 3,502.27 × 1,102.71
  4. Step 4: Simplify right side
    2,336.74x = 3,861,988.15
  5. Step 5: Solve for x
    x = 3,861,988.15/2,336.74
  6. Step 6: Final answer
    x = 1,652.72

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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.