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Finding the Fourth Proportional to 2,517.51, 3,777.64 and 1,057.69

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Solution

The fourth proportional to 2,517.51, 3,777.64 and 1,057.69 is: 1,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.51 : 3,777.64 = 1,057.69 : x
  2. Step 2: Convert to fraction form
    2,517.51/3,777.64 = 1,057.69/x
  3. Step 3: Cross multiply
    2,517.51x = 3,777.64 × 1,057.69
  4. Step 4: Simplify right side
    2,517.51x = 3,995,574.13
  5. Step 5: Solve for x
    x = 3,995,574.13/2,517.51
  6. Step 6: Final answer
    x = 1,587.11

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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.