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Finding the Fourth Proportional to 2,145.97, 2,960.78 and 1,399.66

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Solution

The fourth proportional to 2,145.97, 2,960.78 and 1,399.66 is: 1,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.97 : 2,960.78 = 1,399.66 : x
  2. Step 2: Convert to fraction form
    2,145.97/2,960.78 = 1,399.66/x
  3. Step 3: Cross multiply
    2,145.97x = 2,960.78 × 1,399.66
  4. Step 4: Simplify right side
    2,145.97x = 4,144,070.53
  5. Step 5: Solve for x
    x = 4,144,070.53/2,145.97
  6. Step 6: Final answer
    x = 1,931.09

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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.