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Finding the Fourth Proportional to 2,677.48, 4,017.50 and 1,649

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Solution

The fourth proportional to 2,677.48, 4,017.50 and 1,649 is: 2,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.48 : 4,017.50 = 1,649 : x
  2. Step 2: Convert to fraction form
    2,677.48/4,017.50 = 1,649/x
  3. Step 3: Cross multiply
    2,677.48x = 4,017.50 × 1,649
  4. Step 4: Simplify right side
    2,677.48x = 6,624,857.50
  5. Step 5: Solve for x
    x = 6,624,857.50/2,677.48
  6. Step 6: Final answer
    x = 2,474.29

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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.