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Finding the Fourth Proportional to 2,074.71, 2,863.08 and 1,190.55

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Solution

The fourth proportional to 2,074.71, 2,863.08 and 1,190.55 is: 1,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.71 : 2,863.08 = 1,190.55 : x
  2. Step 2: Convert to fraction form
    2,074.71/2,863.08 = 1,190.55/x
  3. Step 3: Cross multiply
    2,074.71x = 2,863.08 × 1,190.55
  4. Step 4: Simplify right side
    2,074.71x = 3,408,639.89
  5. Step 5: Solve for x
    x = 3,408,639.89/2,074.71
  6. Step 6: Final answer
    x = 1,642.95

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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.