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Finding the Fourth Proportional to 2,077.57, 3,116.36 and 517.57

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Solution

The fourth proportional to 2,077.57, 3,116.36 and 517.57 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.57 : 3,116.36 = 517.57 : x
  2. Step 2: Convert to fraction form
    2,077.57/3,116.36 = 517.57/x
  3. Step 3: Cross multiply
    2,077.57x = 3,116.36 × 517.57
  4. Step 4: Simplify right side
    2,077.57x = 1,612,929.90
  5. Step 5: Solve for x
    x = 1,612,929.90/2,077.57
  6. Step 6: Final answer
    x = 776.35

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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.