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Finding the Fourth Proportional to 1,965.40, 2,711.58 and 1,126.12

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Solution

The fourth proportional to 1,965.40, 2,711.58 and 1,126.12 is: 1,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.40 : 2,711.58 = 1,126.12 : x
  2. Step 2: Convert to fraction form
    1,965.40/2,711.58 = 1,126.12/x
  3. Step 3: Cross multiply
    1,965.40x = 2,711.58 × 1,126.12
  4. Step 4: Simplify right side
    1,965.40x = 3,053,564.47
  5. Step 5: Solve for x
    x = 3,053,564.47/1,965.40
  6. Step 6: Final answer
    x = 1,553.66

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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.