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Finding the Fourth Proportional to 1,474.36, 2,034.32 and 876.84

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Solution

The fourth proportional to 1,474.36, 2,034.32 and 876.84 is: 1,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.36 : 2,034.32 = 876.84 : x
  2. Step 2: Convert to fraction form
    1,474.36/2,034.32 = 876.84/x
  3. Step 3: Cross multiply
    1,474.36x = 2,034.32 × 876.84
  4. Step 4: Simplify right side
    1,474.36x = 1,783,773.15
  5. Step 5: Solve for x
    x = 1,783,773.15/1,474.36
  6. Step 6: Final answer
    x = 1,209.86

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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.