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Finding the Fourth Proportional to 2,677.85, 4,016.37 and 1,637.50

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Solution

The fourth proportional to 2,677.85, 4,016.37 and 1,637.50 is: 2,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.85 : 4,016.37 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    2,677.85/4,016.37 = 1,637.50/x
  3. Step 3: Cross multiply
    2,677.85x = 4,016.37 × 1,637.50
  4. Step 4: Simplify right side
    2,677.85x = 6,576,805.88
  5. Step 5: Solve for x
    x = 6,576,805.88/2,677.85
  6. Step 6: Final answer
    x = 2,456.00

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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.