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Finding the Fourth Proportional to 2,473.58, 3,711.81 and 934.70

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Solution

The fourth proportional to 2,473.58, 3,711.81 and 934.70 is: 1,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.58 : 3,711.81 = 934.70 : x
  2. Step 2: Convert to fraction form
    2,473.58/3,711.81 = 934.70/x
  3. Step 3: Cross multiply
    2,473.58x = 3,711.81 × 934.70
  4. Step 4: Simplify right side
    2,473.58x = 3,469,428.81
  5. Step 5: Solve for x
    x = 3,469,428.81/2,473.58
  6. Step 6: Final answer
    x = 1,402.59

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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.