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Finding the Fourth Proportional to 2,312.88, 3,469.59 and 752.82

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Solution

The fourth proportional to 2,312.88, 3,469.59 and 752.82 is: 1,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.88 : 3,469.59 = 752.82 : x
  2. Step 2: Convert to fraction form
    2,312.88/3,469.59 = 752.82/x
  3. Step 3: Cross multiply
    2,312.88x = 3,469.59 × 752.82
  4. Step 4: Simplify right side
    2,312.88x = 2,611,976.74
  5. Step 5: Solve for x
    x = 2,611,976.74/2,312.88
  6. Step 6: Final answer
    x = 1,129.32

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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.