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Finding the Fourth Proportional to 1,931.40, 2,882.97 and 1,659.24

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Solution

The fourth proportional to 1,931.40, 2,882.97 and 1,659.24 is: 2,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.40 : 2,882.97 = 1,659.24 : x
  2. Step 2: Convert to fraction form
    1,931.40/2,882.97 = 1,659.24/x
  3. Step 3: Cross multiply
    1,931.40x = 2,882.97 × 1,659.24
  4. Step 4: Simplify right side
    1,931.40x = 4,783,539.14
  5. Step 5: Solve for x
    x = 4,783,539.14/1,931.40
  6. Step 6: Final answer
    x = 2,476.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.