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Finding the Fourth Proportional to 1,765.20, 2,435.61 and 979.08

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Solution

The fourth proportional to 1,765.20, 2,435.61 and 979.08 is: 1,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.20 : 2,435.61 = 979.08 : x
  2. Step 2: Convert to fraction form
    1,765.20/2,435.61 = 979.08/x
  3. Step 3: Cross multiply
    1,765.20x = 2,435.61 × 979.08
  4. Step 4: Simplify right side
    1,765.20x = 2,384,657.04
  5. Step 5: Solve for x
    x = 2,384,657.04/1,765.20
  6. Step 6: Final answer
    x = 1,350.93

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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.