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Finding the Fourth Proportional to 2,877.40, 3,969.64 and 2,089.72

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Solution

The fourth proportional to 2,877.40, 3,969.64 and 2,089.72 is: 2,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.40 : 3,969.64 = 2,089.72 : x
  2. Step 2: Convert to fraction form
    2,877.40/3,969.64 = 2,089.72/x
  3. Step 3: Cross multiply
    2,877.40x = 3,969.64 × 2,089.72
  4. Step 4: Simplify right side
    2,877.40x = 8,295,436.10
  5. Step 5: Solve for x
    x = 8,295,436.10/2,877.40
  6. Step 6: Final answer
    x = 2,882.96

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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.