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Finding the Fourth Proportional to 2,865.54, 4,298.31 and 1,567.92

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Solution

The fourth proportional to 2,865.54, 4,298.31 and 1,567.92 is: 2,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.54 : 4,298.31 = 1,567.92 : x
  2. Step 2: Convert to fraction form
    2,865.54/4,298.31 = 1,567.92/x
  3. Step 3: Cross multiply
    2,865.54x = 4,298.31 × 1,567.92
  4. Step 4: Simplify right side
    2,865.54x = 6,739,406.22
  5. Step 5: Solve for x
    x = 6,739,406.22/2,865.54
  6. Step 6: Final answer
    x = 2,351.88

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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.