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Finding the Fourth Proportional to 2,077.96, 3,116.88 and 617.12

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Solution

The fourth proportional to 2,077.96, 3,116.88 and 617.12 is: 925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.96 : 3,116.88 = 617.12 : x
  2. Step 2: Convert to fraction form
    2,077.96/3,116.88 = 617.12/x
  3. Step 3: Cross multiply
    2,077.96x = 3,116.88 × 617.12
  4. Step 4: Simplify right side
    2,077.96x = 1,923,488.99
  5. Step 5: Solve for x
    x = 1,923,488.99/2,077.96
  6. Step 6: Final answer
    x = 925.66

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