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Finding the Fourth Proportional to 2,753.52, 3,799.68 and 1,574.40

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Solution

The fourth proportional to 2,753.52, 3,799.68 and 1,574.40 is: 2,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.52 : 3,799.68 = 1,574.40 : x
  2. Step 2: Convert to fraction form
    2,753.52/3,799.68 = 1,574.40/x
  3. Step 3: Cross multiply
    2,753.52x = 3,799.68 × 1,574.40
  4. Step 4: Simplify right side
    2,753.52x = 5,982,216.19
  5. Step 5: Solve for x
    x = 5,982,216.19/2,753.52
  6. Step 6: Final answer
    x = 2,172.57

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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.