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Finding the Fourth Proportional to 1,348.60, 1,860.82 and 851.92

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Solution

The fourth proportional to 1,348.60, 1,860.82 and 851.92 is: 1,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.60 : 1,860.82 = 851.92 : x
  2. Step 2: Convert to fraction form
    1,348.60/1,860.82 = 851.92/x
  3. Step 3: Cross multiply
    1,348.60x = 1,860.82 × 851.92
  4. Step 4: Simplify right side
    1,348.60x = 1,585,269.77
  5. Step 5: Solve for x
    x = 1,585,269.77/1,348.60
  6. Step 6: Final answer
    x = 1,175.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.