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Finding the Fourth Proportional to 2,074.66, 2,862.68 and 1,366.80

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Solution

The fourth proportional to 2,074.66, 2,862.68 and 1,366.80 is: 1,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.66 : 2,862.68 = 1,366.80 : x
  2. Step 2: Convert to fraction form
    2,074.66/2,862.68 = 1,366.80/x
  3. Step 3: Cross multiply
    2,074.66x = 2,862.68 × 1,366.80
  4. Step 4: Simplify right side
    2,074.66x = 3,912,711.02
  5. Step 5: Solve for x
    x = 3,912,711.02/2,074.66
  6. Step 6: Final answer
    x = 1,885.95

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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.