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Finding the Fourth Proportional to 1,966.59, 2,715.27 and 1,377.93

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Solution

The fourth proportional to 1,966.59, 2,715.27 and 1,377.93 is: 1,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.59 : 2,715.27 = 1,377.93 : x
  2. Step 2: Convert to fraction form
    1,966.59/2,715.27 = 1,377.93/x
  3. Step 3: Cross multiply
    1,966.59x = 2,715.27 × 1,377.93
  4. Step 4: Simplify right side
    1,966.59x = 3,741,451.99
  5. Step 5: Solve for x
    x = 3,741,451.99/1,966.59
  6. Step 6: Final answer
    x = 1,902.51

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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.