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Finding the Fourth Proportional to 2,333.90, 3,500.88 and 872.74

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Solution

The fourth proportional to 2,333.90, 3,500.88 and 872.74 is: 1,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.90 : 3,500.88 = 872.74 : x
  2. Step 2: Convert to fraction form
    2,333.90/3,500.88 = 872.74/x
  3. Step 3: Cross multiply
    2,333.90x = 3,500.88 × 872.74
  4. Step 4: Simplify right side
    2,333.90x = 3,055,358.01
  5. Step 5: Solve for x
    x = 3,055,358.01/2,333.90
  6. Step 6: Final answer
    x = 1,309.12

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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.