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Finding the Fourth Proportional to 1,472.73, 2,219.68 and 1,269.75

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Solution

The fourth proportional to 1,472.73, 2,219.68 and 1,269.75 is: 1,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.73 : 2,219.68 = 1,269.75 : x
  2. Step 2: Convert to fraction form
    1,472.73/2,219.68 = 1,269.75/x
  3. Step 3: Cross multiply
    1,472.73x = 2,219.68 × 1,269.75
  4. Step 4: Simplify right side
    1,472.73x = 2,818,438.68
  5. Step 5: Solve for x
    x = 2,818,438.68/1,472.73
  6. Step 6: Final answer
    x = 1,913.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.