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Finding the Fourth Proportional to 2,862.59, 4,295.46 and 1,546.30

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Solution

The fourth proportional to 2,862.59, 4,295.46 and 1,546.30 is: 2,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.59 : 4,295.46 = 1,546.30 : x
  2. Step 2: Convert to fraction form
    2,862.59/4,295.46 = 1,546.30/x
  3. Step 3: Cross multiply
    2,862.59x = 4,295.46 × 1,546.30
  4. Step 4: Simplify right side
    2,862.59x = 6,642,080.97
  5. Step 5: Solve for x
    x = 6,642,080.97/2,862.59
  6. Step 6: Final answer
    x = 2,320.31

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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.