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Finding the Fourth Proportional to 1,472.95, 2,033.31 and 974.71

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Solution

The fourth proportional to 1,472.95, 2,033.31 and 974.71 is: 1,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.95 : 2,033.31 = 974.71 : x
  2. Step 2: Convert to fraction form
    1,472.95/2,033.31 = 974.71/x
  3. Step 3: Cross multiply
    1,472.95x = 2,033.31 × 974.71
  4. Step 4: Simplify right side
    1,472.95x = 1,981,887.59
  5. Step 5: Solve for x
    x = 1,981,887.59/1,472.95
  6. Step 6: Final answer
    x = 1,345.52

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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.