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Finding the Fourth Proportional to 2,677.80, 4,013.86 and 1,033.64

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Solution

The fourth proportional to 2,677.80, 4,013.86 and 1,033.64 is: 1,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.80 : 4,013.86 = 1,033.64 : x
  2. Step 2: Convert to fraction form
    2,677.80/4,013.86 = 1,033.64/x
  3. Step 3: Cross multiply
    2,677.80x = 4,013.86 × 1,033.64
  4. Step 4: Simplify right side
    2,677.80x = 4,148,886.25
  5. Step 5: Solve for x
    x = 4,148,886.25/2,677.80
  6. Step 6: Final answer
    x = 1,549.36

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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.