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Finding the Fourth Proportional to 1,507.68, 2,077.98 and 1,227.32

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Solution

The fourth proportional to 1,507.68, 2,077.98 and 1,227.32 is: 1,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.68 : 2,077.98 = 1,227.32 : x
  2. Step 2: Convert to fraction form
    1,507.68/2,077.98 = 1,227.32/x
  3. Step 3: Cross multiply
    1,507.68x = 2,077.98 × 1,227.32
  4. Step 4: Simplify right side
    1,507.68x = 2,550,346.41
  5. Step 5: Solve for x
    x = 2,550,346.41/1,507.68
  6. Step 6: Final answer
    x = 1,691.57

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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.