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Finding the Fourth Proportional to 2,854.28, 4,258.07 and 2,774.90

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Solution

The fourth proportional to 2,854.28, 4,258.07 and 2,774.90 is: 4,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.28 : 4,258.07 = 2,774.90 : x
  2. Step 2: Convert to fraction form
    2,854.28/4,258.07 = 2,774.90/x
  3. Step 3: Cross multiply
    2,854.28x = 4,258.07 × 2,774.90
  4. Step 4: Simplify right side
    2,854.28x = 11,815,704.57
  5. Step 5: Solve for x
    x = 11,815,704.57/2,854.28
  6. Step 6: Final answer
    x = 4,139.64

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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.