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Finding the Fourth Proportional to 2,319.48, 3,476.61 and 932.49

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Solution

The fourth proportional to 2,319.48, 3,476.61 and 932.49 is: 1,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.48 : 3,476.61 = 932.49 : x
  2. Step 2: Convert to fraction form
    2,319.48/3,476.61 = 932.49/x
  3. Step 3: Cross multiply
    2,319.48x = 3,476.61 × 932.49
  4. Step 4: Simplify right side
    2,319.48x = 3,241,904.06
  5. Step 5: Solve for x
    x = 3,241,904.06/2,319.48
  6. Step 6: Final answer
    x = 1,397.69

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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.