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Finding the Fourth Proportional to 2,817.52, 3,888.14 and 1,575.52

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Solution

The fourth proportional to 2,817.52, 3,888.14 and 1,575.52 is: 2,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.52 : 3,888.14 = 1,575.52 : x
  2. Step 2: Convert to fraction form
    2,817.52/3,888.14 = 1,575.52/x
  3. Step 3: Cross multiply
    2,817.52x = 3,888.14 × 1,575.52
  4. Step 4: Simplify right side
    2,817.52x = 6,125,842.33
  5. Step 5: Solve for x
    x = 6,125,842.33/2,817.52
  6. Step 6: Final answer
    x = 2,174.20

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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.