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Finding the Fourth Proportional to 1,472.17, 2,029.84 and 1,348.24

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Solution

The fourth proportional to 1,472.17, 2,029.84 and 1,348.24 is: 1,858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.17 : 2,029.84 = 1,348.24 : x
  2. Step 2: Convert to fraction form
    1,472.17/2,029.84 = 1,348.24/x
  3. Step 3: Cross multiply
    1,472.17x = 2,029.84 × 1,348.24
  4. Step 4: Simplify right side
    1,472.17x = 2,736,711.48
  5. Step 5: Solve for x
    x = 2,736,711.48/1,472.17
  6. Step 6: Final answer
    x = 1,858.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.