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Finding the Fourth Proportional to 1,507.49, 2,081.04 and 1,134.61

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Solution

The fourth proportional to 1,507.49, 2,081.04 and 1,134.61 is: 1,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.49 : 2,081.04 = 1,134.61 : x
  2. Step 2: Convert to fraction form
    1,507.49/2,081.04 = 1,134.61/x
  3. Step 3: Cross multiply
    1,507.49x = 2,081.04 × 1,134.61
  4. Step 4: Simplify right side
    1,507.49x = 2,361,168.79
  5. Step 5: Solve for x
    x = 2,361,168.79/1,507.49
  6. Step 6: Final answer
    x = 1,566.29

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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.