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Finding the Fourth Proportional to 1,677.88, 2,512.68 and 854.98

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Solution

The fourth proportional to 1,677.88, 2,512.68 and 854.98 is: 1,280.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.88 : 2,512.68 = 854.98 : x
  2. Step 2: Convert to fraction form
    1,677.88/2,512.68 = 854.98/x
  3. Step 3: Cross multiply
    1,677.88x = 2,512.68 × 854.98
  4. Step 4: Simplify right side
    1,677.88x = 2,148,291.15
  5. Step 5: Solve for x
    x = 2,148,291.15/1,677.88
  6. Step 6: Final answer
    x = 1,280.36

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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.