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Finding the Fourth Proportional to 2,617.14, 3,925.10 and 767.76

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Solution

The fourth proportional to 2,617.14, 3,925.10 and 767.76 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.14 : 3,925.10 = 767.76 : x
  2. Step 2: Convert to fraction form
    2,617.14/3,925.10 = 767.76/x
  3. Step 3: Cross multiply
    2,617.14x = 3,925.10 × 767.76
  4. Step 4: Simplify right side
    2,617.14x = 3,013,516.22
  5. Step 5: Solve for x
    x = 3,013,516.22/2,617.14
  6. Step 6: Final answer
    x = 1,151.46

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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.