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Finding the Fourth Proportional to 1,972.74, 2,957.03 and 861.18

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Solution

The fourth proportional to 1,972.74, 2,957.03 and 861.18 is: 1,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.74 : 2,957.03 = 861.18 : x
  2. Step 2: Convert to fraction form
    1,972.74/2,957.03 = 861.18/x
  3. Step 3: Cross multiply
    1,972.74x = 2,957.03 × 861.18
  4. Step 4: Simplify right side
    1,972.74x = 2,546,547.88
  5. Step 5: Solve for x
    x = 2,546,547.88/1,972.74
  6. Step 6: Final answer
    x = 1,290.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.