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Finding the Fourth Proportional to 2,251.40, 3,107.03 and 1,505.66

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Solution

The fourth proportional to 2,251.40, 3,107.03 and 1,505.66 is: 2,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.40 : 3,107.03 = 1,505.66 : x
  2. Step 2: Convert to fraction form
    2,251.40/3,107.03 = 1,505.66/x
  3. Step 3: Cross multiply
    2,251.40x = 3,107.03 × 1,505.66
  4. Step 4: Simplify right side
    2,251.40x = 4,678,119.02
  5. Step 5: Solve for x
    x = 4,678,119.02/2,251.40
  6. Step 6: Final answer
    x = 2,077.88

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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.