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Finding the Fourth Proportional to 2,677.59, 4,013.01 and 1,442.48

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Solution

The fourth proportional to 2,677.59, 4,013.01 and 1,442.48 is: 2,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.59 : 4,013.01 = 1,442.48 : x
  2. Step 2: Convert to fraction form
    2,677.59/4,013.01 = 1,442.48/x
  3. Step 3: Cross multiply
    2,677.59x = 4,013.01 × 1,442.48
  4. Step 4: Simplify right side
    2,677.59x = 5,788,666.60
  5. Step 5: Solve for x
    x = 5,788,666.60/2,677.59
  6. Step 6: Final answer
    x = 2,161.89

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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.