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Finding the Fourth Proportional to 1,965.07, 2,712 and 1,125.87

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Solution

The fourth proportional to 1,965.07, 2,712 and 1,125.87 is: 1,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.07 : 2,712 = 1,125.87 : x
  2. Step 2: Convert to fraction form
    1,965.07/2,712 = 1,125.87/x
  3. Step 3: Cross multiply
    1,965.07x = 2,712 × 1,125.87
  4. Step 4: Simplify right side
    1,965.07x = 3,053,359.44
  5. Step 5: Solve for x
    x = 3,053,359.44/1,965.07
  6. Step 6: Final answer
    x = 1,553.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.