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Finding the Fourth Proportional to 1,540.80, 2,127.80 and 1,318.45

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Solution

The fourth proportional to 1,540.80, 2,127.80 and 1,318.45 is: 1,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.80 : 2,127.80 = 1,318.45 : x
  2. Step 2: Convert to fraction form
    1,540.80/2,127.80 = 1,318.45/x
  3. Step 3: Cross multiply
    1,540.80x = 2,127.80 × 1,318.45
  4. Step 4: Simplify right side
    1,540.80x = 2,805,397.91
  5. Step 5: Solve for x
    x = 2,805,397.91/1,540.80
  6. Step 6: Final answer
    x = 1,820.74

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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.