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Finding the Fourth Proportional to 1,780.79, 2,458.32 and 1,191.71

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Solution

The fourth proportional to 1,780.79, 2,458.32 and 1,191.71 is: 1,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.79 : 2,458.32 = 1,191.71 : x
  2. Step 2: Convert to fraction form
    1,780.79/2,458.32 = 1,191.71/x
  3. Step 3: Cross multiply
    1,780.79x = 2,458.32 × 1,191.71
  4. Step 4: Simplify right side
    1,780.79x = 2,929,604.53
  5. Step 5: Solve for x
    x = 2,929,604.53/1,780.79
  6. Step 6: Final answer
    x = 1,645.12

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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.