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Finding the Fourth Proportional to 2,877.42, 3,965.31 and 2,047.98

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Solution

The fourth proportional to 2,877.42, 3,965.31 and 2,047.98 is: 2,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.42 : 3,965.31 = 2,047.98 : x
  2. Step 2: Convert to fraction form
    2,877.42/3,965.31 = 2,047.98/x
  3. Step 3: Cross multiply
    2,877.42x = 3,965.31 × 2,047.98
  4. Step 4: Simplify right side
    2,877.42x = 8,120,875.57
  5. Step 5: Solve for x
    x = 8,120,875.57/2,877.42
  6. Step 6: Final answer
    x = 2,822.28

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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.