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Finding the Fourth Proportional to 1,349.87, 2,023.74 and 618.93

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Solution

The fourth proportional to 1,349.87, 2,023.74 and 618.93 is: 927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.87 : 2,023.74 = 618.93 : x
  2. Step 2: Convert to fraction form
    1,349.87/2,023.74 = 618.93/x
  3. Step 3: Cross multiply
    1,349.87x = 2,023.74 × 618.93
  4. Step 4: Simplify right side
    1,349.87x = 1,252,553.40
  5. Step 5: Solve for x
    x = 1,252,553.40/1,349.87
  6. Step 6: Final answer
    x = 927.91

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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.