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Finding the Fourth Proportional to 1,254.19, 1,880.60 and 995.85

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Solution

The fourth proportional to 1,254.19, 1,880.60 and 995.85 is: 1,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.19 : 1,880.60 = 995.85 : x
  2. Step 2: Convert to fraction form
    1,254.19/1,880.60 = 995.85/x
  3. Step 3: Cross multiply
    1,254.19x = 1,880.60 × 995.85
  4. Step 4: Simplify right side
    1,254.19x = 1,872,799.73
  5. Step 5: Solve for x
    x = 1,872,799.73/1,254.19
  6. Step 6: Final answer
    x = 1,493.23

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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.