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Finding the Fourth Proportional to 2,077.14, 3,114.65 and 616.11

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Solution

The fourth proportional to 2,077.14, 3,114.65 and 616.11 is: 923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.14 : 3,114.65 = 616.11 : x
  2. Step 2: Convert to fraction form
    2,077.14/3,114.65 = 616.11/x
  3. Step 3: Cross multiply
    2,077.14x = 3,114.65 × 616.11
  4. Step 4: Simplify right side
    2,077.14x = 1,918,956.87
  5. Step 5: Solve for x
    x = 1,918,956.87/2,077.14
  6. Step 6: Final answer
    x = 923.84

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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.