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Finding the Fourth Proportional to 2,057.47, 2,834.35 and 1,426.88

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Solution

The fourth proportional to 2,057.47, 2,834.35 and 1,426.88 is: 1,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.47 : 2,834.35 = 1,426.88 : x
  2. Step 2: Convert to fraction form
    2,057.47/2,834.35 = 1,426.88/x
  3. Step 3: Cross multiply
    2,057.47x = 2,834.35 × 1,426.88
  4. Step 4: Simplify right side
    2,057.47x = 4,044,277.33
  5. Step 5: Solve for x
    x = 4,044,277.33/2,057.47
  6. Step 6: Final answer
    x = 1,965.66

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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.