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Finding the Fourth Proportional to 1,540.67, 2,127.02 and 981.61

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Solution

The fourth proportional to 1,540.67, 2,127.02 and 981.61 is: 1,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.67 : 2,127.02 = 981.61 : x
  2. Step 2: Convert to fraction form
    1,540.67/2,127.02 = 981.61/x
  3. Step 3: Cross multiply
    1,540.67x = 2,127.02 × 981.61
  4. Step 4: Simplify right side
    1,540.67x = 2,087,893.88
  5. Step 5: Solve for x
    x = 2,087,893.88/1,540.67
  6. Step 6: Final answer
    x = 1,355.19

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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.