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Finding the Fourth Proportional to 2,677.95, 4,016.87 and 1,750.80

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Solution

The fourth proportional to 2,677.95, 4,016.87 and 1,750.80 is: 2,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.95 : 4,016.87 = 1,750.80 : x
  2. Step 2: Convert to fraction form
    2,677.95/4,016.87 = 1,750.80/x
  3. Step 3: Cross multiply
    2,677.95x = 4,016.87 × 1,750.80
  4. Step 4: Simplify right side
    2,677.95x = 7,032,736.00
  5. Step 5: Solve for x
    x = 7,032,736.00/2,677.95
  6. Step 6: Final answer
    x = 2,626.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.