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Finding the Fourth Proportional to 1,677.44, 2,512.80 and 1,310.40

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Solution

The fourth proportional to 1,677.44, 2,512.80 and 1,310.40 is: 1,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.44 : 2,512.80 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    1,677.44/2,512.80 = 1,310.40/x
  3. Step 3: Cross multiply
    1,677.44x = 2,512.80 × 1,310.40
  4. Step 4: Simplify right side
    1,677.44x = 3,292,773.12
  5. Step 5: Solve for x
    x = 3,292,773.12/1,677.44
  6. Step 6: Final answer
    x = 1,962.98

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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.