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Finding the Fourth Proportional to 2,862.12, 4,295.02 and 1,218.68

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Solution

The fourth proportional to 2,862.12, 4,295.02 and 1,218.68 is: 1,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.12 : 4,295.02 = 1,218.68 : x
  2. Step 2: Convert to fraction form
    2,862.12/4,295.02 = 1,218.68/x
  3. Step 3: Cross multiply
    2,862.12x = 4,295.02 × 1,218.68
  4. Step 4: Simplify right side
    2,862.12x = 5,234,254.97
  5. Step 5: Solve for x
    x = 5,234,254.97/2,862.12
  6. Step 6: Final answer
    x = 1,828.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.