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Finding the Fourth Proportional to 2,078.68, 3,117.96 and 617.88

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Solution

The fourth proportional to 2,078.68, 3,117.96 and 617.88 is: 926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.68 : 3,117.96 = 617.88 : x
  2. Step 2: Convert to fraction form
    2,078.68/3,117.96 = 617.88/x
  3. Step 3: Cross multiply
    2,078.68x = 3,117.96 × 617.88
  4. Step 4: Simplify right side
    2,078.68x = 1,926,525.12
  5. Step 5: Solve for x
    x = 1,926,525.12/2,078.68
  6. Step 6: Final answer
    x = 926.80

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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.