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Finding the Fourth Proportional to 2,077.80, 3,117.30 and 616.98

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Solution

The fourth proportional to 2,077.80, 3,117.30 and 616.98 is: 925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.80 : 3,117.30 = 616.98 : x
  2. Step 2: Convert to fraction form
    2,077.80/3,117.30 = 616.98/x
  3. Step 3: Cross multiply
    2,077.80x = 3,117.30 × 616.98
  4. Step 4: Simplify right side
    2,077.80x = 1,923,311.75
  5. Step 5: Solve for x
    x = 1,923,311.75/2,077.80
  6. Step 6: Final answer
    x = 925.65

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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.