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Finding the Fourth Proportional to 2,617.02, 3,925.52 and 669.24

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Solution

The fourth proportional to 2,617.02, 3,925.52 and 669.24 is: 1,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.02 : 3,925.52 = 669.24 : x
  2. Step 2: Convert to fraction form
    2,617.02/3,925.52 = 669.24/x
  3. Step 3: Cross multiply
    2,617.02x = 3,925.52 × 669.24
  4. Step 4: Simplify right side
    2,617.02x = 2,627,115.00
  5. Step 5: Solve for x
    x = 2,627,115.00/2,617.02
  6. Step 6: Final answer
    x = 1,003.86

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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.