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Finding the Fourth Proportional to 2,677.88, 4,014.66 and 1,033.58

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Solution

The fourth proportional to 2,677.88, 4,014.66 and 1,033.58 is: 1,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.88 : 4,014.66 = 1,033.58 : x
  2. Step 2: Convert to fraction form
    2,677.88/4,014.66 = 1,033.58/x
  3. Step 3: Cross multiply
    2,677.88x = 4,014.66 × 1,033.58
  4. Step 4: Simplify right side
    2,677.88x = 4,149,472.28
  5. Step 5: Solve for x
    x = 4,149,472.28/2,677.88
  6. Step 6: Final answer
    x = 1,549.54

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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.