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Finding the Fourth Proportional to 2,867.32, 4,298.58 and 2,731.24

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Solution

The fourth proportional to 2,867.32, 4,298.58 and 2,731.24 is: 4,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.32 : 4,298.58 = 2,731.24 : x
  2. Step 2: Convert to fraction form
    2,867.32/4,298.58 = 2,731.24/x
  3. Step 3: Cross multiply
    2,867.32x = 4,298.58 × 2,731.24
  4. Step 4: Simplify right side
    2,867.32x = 11,740,453.64
  5. Step 5: Solve for x
    x = 11,740,453.64/2,867.32
  6. Step 6: Final answer
    x = 4,094.57

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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.