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Finding the Fourth Proportional to 2,039.74, 3,061.14 and 944.87

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Solution

The fourth proportional to 2,039.74, 3,061.14 and 944.87 is: 1,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.74 : 3,061.14 = 944.87 : x
  2. Step 2: Convert to fraction form
    2,039.74/3,061.14 = 944.87/x
  3. Step 3: Cross multiply
    2,039.74x = 3,061.14 × 944.87
  4. Step 4: Simplify right side
    2,039.74x = 2,892,379.35
  5. Step 5: Solve for x
    x = 2,892,379.35/2,039.74
  6. Step 6: Final answer
    x = 1,418.01

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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.