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Finding the Fourth Proportional to 1,974.74, 2,724.29 and 1,135.25

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Solution

The fourth proportional to 1,974.74, 2,724.29 and 1,135.25 is: 1,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.74 : 2,724.29 = 1,135.25 : x
  2. Step 2: Convert to fraction form
    1,974.74/2,724.29 = 1,135.25/x
  3. Step 3: Cross multiply
    1,974.74x = 2,724.29 × 1,135.25
  4. Step 4: Simplify right side
    1,974.74x = 3,092,730.92
  5. Step 5: Solve for x
    x = 3,092,730.92/1,974.74
  6. Step 6: Final answer
    x = 1,566.15

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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.