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Finding the Fourth Proportional to 2,473.43, 3,710.39 and 913.84

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Solution

The fourth proportional to 2,473.43, 3,710.39 and 913.84 is: 1,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.43 : 3,710.39 = 913.84 : x
  2. Step 2: Convert to fraction form
    2,473.43/3,710.39 = 913.84/x
  3. Step 3: Cross multiply
    2,473.43x = 3,710.39 × 913.84
  4. Step 4: Simplify right side
    2,473.43x = 3,390,702.80
  5. Step 5: Solve for x
    x = 3,390,702.80/2,473.43
  6. Step 6: Final answer
    x = 1,370.85

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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.