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Finding the Fourth Proportional to 2,265.52, 3,393.16 and 1,109.04

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Solution

The fourth proportional to 2,265.52, 3,393.16 and 1,109.04 is: 1,661.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.52 : 3,393.16 = 1,109.04 : x
  2. Step 2: Convert to fraction form
    2,265.52/3,393.16 = 1,109.04/x
  3. Step 3: Cross multiply
    2,265.52x = 3,393.16 × 1,109.04
  4. Step 4: Simplify right side
    2,265.52x = 3,763,150.17
  5. Step 5: Solve for x
    x = 3,763,150.17/2,265.52
  6. Step 6: Final answer
    x = 1,661.05

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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.