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Finding the Fourth Proportional to 2,617.79, 3,925.67 and 1,057.39

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Solution

The fourth proportional to 2,617.79, 3,925.67 and 1,057.39 is: 1,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.79 : 3,925.67 = 1,057.39 : x
  2. Step 2: Convert to fraction form
    2,617.79/3,925.67 = 1,057.39/x
  3. Step 3: Cross multiply
    2,617.79x = 3,925.67 × 1,057.39
  4. Step 4: Simplify right side
    2,617.79x = 4,150,949.10
  5. Step 5: Solve for x
    x = 4,150,949.10/2,617.79
  6. Step 6: Final answer
    x = 1,585.67

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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.