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Finding the Fourth Proportional to 2,080.48, 2,863.20 and 1,575.04

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Solution

The fourth proportional to 2,080.48, 2,863.20 and 1,575.04 is: 2,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.48 : 2,863.20 = 1,575.04 : x
  2. Step 2: Convert to fraction form
    2,080.48/2,863.20 = 1,575.04/x
  3. Step 3: Cross multiply
    2,080.48x = 2,863.20 × 1,575.04
  4. Step 4: Simplify right side
    2,080.48x = 4,509,654.53
  5. Step 5: Solve for x
    x = 4,509,654.53/2,080.48
  6. Step 6: Final answer
    x = 2,167.60

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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.