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Finding the Fourth Proportional to 2,677.88, 4,024.02 and 1,446.20

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Solution

The fourth proportional to 2,677.88, 4,024.02 and 1,446.20 is: 2,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.88 : 4,024.02 = 1,446.20 : x
  2. Step 2: Convert to fraction form
    2,677.88/4,024.02 = 1,446.20/x
  3. Step 3: Cross multiply
    2,677.88x = 4,024.02 × 1,446.20
  4. Step 4: Simplify right side
    2,677.88x = 5,819,537.72
  5. Step 5: Solve for x
    x = 5,819,537.72/2,677.88
  6. Step 6: Final answer
    x = 2,173.19

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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.