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Finding the Fourth Proportional to 2,862.90, 4,016.70 and 2,862.90

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Solution

The fourth proportional to 2,862.90, 4,016.70 and 2,862.90 is: 4,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.90 : 4,016.70 = 2,862.90 : x
  2. Step 2: Convert to fraction form
    2,862.90/4,016.70 = 2,862.90/x
  3. Step 3: Cross multiply
    2,862.90x = 4,016.70 × 2,862.90
  4. Step 4: Simplify right side
    2,862.90x = 11,499,410.43
  5. Step 5: Solve for x
    x = 11,499,410.43/2,862.90
  6. Step 6: Final answer
    x = 4,016.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.