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Finding the Fourth Proportional to 1,333.87, 2,000.51 and 749.14

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Solution

The fourth proportional to 1,333.87, 2,000.51 and 749.14 is: 1,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.87 : 2,000.51 = 749.14 : x
  2. Step 2: Convert to fraction form
    1,333.87/2,000.51 = 749.14/x
  3. Step 3: Cross multiply
    1,333.87x = 2,000.51 × 749.14
  4. Step 4: Simplify right side
    1,333.87x = 1,498,648.31
  5. Step 5: Solve for x
    x = 1,498,648.31/1,333.87
  6. Step 6: Final answer
    x = 1,123.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.