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Finding the Fourth Proportional to 2,312.18, 3,468.87 and 668.85

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Solution

The fourth proportional to 2,312.18, 3,468.87 and 668.85 is: 1,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.18 : 3,468.87 = 668.85 : x
  2. Step 2: Convert to fraction form
    2,312.18/3,468.87 = 668.85/x
  3. Step 3: Cross multiply
    2,312.18x = 3,468.87 × 668.85
  4. Step 4: Simplify right side
    2,312.18x = 2,320,153.70
  5. Step 5: Solve for x
    x = 2,320,153.70/2,312.18
  6. Step 6: Final answer
    x = 1,003.45

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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.