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Finding the Fourth Proportional to 2,042.70, 3,061.65 and 944.75

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Solution

The fourth proportional to 2,042.70, 3,061.65 and 944.75 is: 1,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.70 : 3,061.65 = 944.75 : x
  2. Step 2: Convert to fraction form
    2,042.70/3,061.65 = 944.75/x
  3. Step 3: Cross multiply
    2,042.70x = 3,061.65 × 944.75
  4. Step 4: Simplify right side
    2,042.70x = 2,892,478.53
  5. Step 5: Solve for x
    x = 2,892,478.53/2,042.70
  6. Step 6: Final answer
    x = 1,416.01

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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.