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Finding the Fourth Proportional to 2,617.15, 3,925.72 and 669.35

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Solution

The fourth proportional to 2,617.15, 3,925.72 and 669.35 is: 1,004.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.15 : 3,925.72 = 669.35 : x
  2. Step 2: Convert to fraction form
    2,617.15/3,925.72 = 669.35/x
  3. Step 3: Cross multiply
    2,617.15x = 3,925.72 × 669.35
  4. Step 4: Simplify right side
    2,617.15x = 2,627,680.68
  5. Step 5: Solve for x
    x = 2,627,680.68/2,617.15
  6. Step 6: Final answer
    x = 1,004.02

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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.