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Finding the Fourth Proportional to 2,877.04, 4,312.90 and 1,027.82

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Solution

The fourth proportional to 2,877.04, 4,312.90 and 1,027.82 is: 1,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.04 : 4,312.90 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    2,877.04/4,312.90 = 1,027.82/x
  3. Step 3: Cross multiply
    2,877.04x = 4,312.90 × 1,027.82
  4. Step 4: Simplify right side
    2,877.04x = 4,432,884.88
  5. Step 5: Solve for x
    x = 4,432,884.88/2,877.04
  6. Step 6: Final answer
    x = 1,540.78

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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.