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Finding the Fourth Proportional to 2,271.60, 3,399.17 and 1,877.94

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Solution

The fourth proportional to 2,271.60, 3,399.17 and 1,877.94 is: 2,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.60 : 3,399.17 = 1,877.94 : x
  2. Step 2: Convert to fraction form
    2,271.60/3,399.17 = 1,877.94/x
  3. Step 3: Cross multiply
    2,271.60x = 3,399.17 × 1,877.94
  4. Step 4: Simplify right side
    2,271.60x = 6,383,427.92
  5. Step 5: Solve for x
    x = 6,383,427.92/2,271.60
  6. Step 6: Final answer
    x = 2,810.10

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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.