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Finding the Fourth Proportional to 1,765.70, 2,436.56 and 979.86

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Solution

The fourth proportional to 1,765.70, 2,436.56 and 979.86 is: 1,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.70 : 2,436.56 = 979.86 : x
  2. Step 2: Convert to fraction form
    1,765.70/2,436.56 = 979.86/x
  3. Step 3: Cross multiply
    1,765.70x = 2,436.56 × 979.86
  4. Step 4: Simplify right side
    1,765.70x = 2,387,487.68
  5. Step 5: Solve for x
    x = 2,387,487.68/1,765.70
  6. Step 6: Final answer
    x = 1,352.15

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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.