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Finding the Fourth Proportional to 1,442.10, 1,991.18 and 944.56

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Solution

The fourth proportional to 1,442.10, 1,991.18 and 944.56 is: 1,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.10 : 1,991.18 = 944.56 : x
  2. Step 2: Convert to fraction form
    1,442.10/1,991.18 = 944.56/x
  3. Step 3: Cross multiply
    1,442.10x = 1,991.18 × 944.56
  4. Step 4: Simplify right side
    1,442.10x = 1,880,793.83
  5. Step 5: Solve for x
    x = 1,880,793.83/1,442.10
  6. Step 6: Final answer
    x = 1,304.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.