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Finding the Fourth Proportional to 1,472.76, 2,204.87 and 1,147.14

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Solution

The fourth proportional to 1,472.76, 2,204.87 and 1,147.14 is: 1,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.76 : 2,204.87 = 1,147.14 : x
  2. Step 2: Convert to fraction form
    1,472.76/2,204.87 = 1,147.14/x
  3. Step 3: Cross multiply
    1,472.76x = 2,204.87 × 1,147.14
  4. Step 4: Simplify right side
    1,472.76x = 2,529,288.84
  5. Step 5: Solve for x
    x = 2,529,288.84/1,472.76
  6. Step 6: Final answer
    x = 1,717.38

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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.