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Finding the Fourth Proportional to 2,077.80, 3,117.90 and 780.18

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Solution

The fourth proportional to 2,077.80, 3,117.90 and 780.18 is: 1,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.80 : 3,117.90 = 780.18 : x
  2. Step 2: Convert to fraction form
    2,077.80/3,117.90 = 780.18/x
  3. Step 3: Cross multiply
    2,077.80x = 3,117.90 × 780.18
  4. Step 4: Simplify right side
    2,077.80x = 2,432,523.22
  5. Step 5: Solve for x
    x = 2,432,523.22/2,077.80
  6. Step 6: Final answer
    x = 1,170.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.