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Finding the Fourth Proportional to 2,265.55, 3,392.85 and 1,288.69

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Solution

The fourth proportional to 2,265.55, 3,392.85 and 1,288.69 is: 1,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.55 : 3,392.85 = 1,288.69 : x
  2. Step 2: Convert to fraction form
    2,265.55/3,392.85 = 1,288.69/x
  3. Step 3: Cross multiply
    2,265.55x = 3,392.85 × 1,288.69
  4. Step 4: Simplify right side
    2,265.55x = 4,372,314.90
  5. Step 5: Solve for x
    x = 4,372,314.90/2,265.55
  6. Step 6: Final answer
    x = 1,929.92

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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.