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Finding the Fourth Proportional to 2,617.07, 3,925.60 and 669.28

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Solution

The fourth proportional to 2,617.07, 3,925.60 and 669.28 is: 1,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.07 : 3,925.60 = 669.28 : x
  2. Step 2: Convert to fraction form
    2,617.07/3,925.60 = 669.28/x
  3. Step 3: Cross multiply
    2,617.07x = 3,925.60 × 669.28
  4. Step 4: Simplify right side
    2,617.07x = 2,627,325.57
  5. Step 5: Solve for x
    x = 2,627,325.57/2,617.07
  6. Step 6: Final answer
    x = 1,003.92

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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.