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Finding the Fourth Proportional to 2,385.64, 3,292.42 and 1,601.32

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Solution

The fourth proportional to 2,385.64, 3,292.42 and 1,601.32 is: 2,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.64 : 3,292.42 = 1,601.32 : x
  2. Step 2: Convert to fraction form
    2,385.64/3,292.42 = 1,601.32/x
  3. Step 3: Cross multiply
    2,385.64x = 3,292.42 × 1,601.32
  4. Step 4: Simplify right side
    2,385.64x = 5,272,217.99
  5. Step 5: Solve for x
    x = 5,272,217.99/2,385.64
  6. Step 6: Final answer
    x = 2,209.98

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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.