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Finding the Fourth Proportional to 2,332.42, 3,500.02 and 872.62

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Solution

The fourth proportional to 2,332.42, 3,500.02 and 872.62 is: 1,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.42 : 3,500.02 = 872.62 : x
  2. Step 2: Convert to fraction form
    2,332.42/3,500.02 = 872.62/x
  3. Step 3: Cross multiply
    2,332.42x = 3,500.02 × 872.62
  4. Step 4: Simplify right side
    2,332.42x = 3,054,187.45
  5. Step 5: Solve for x
    x = 3,054,187.45/2,332.42
  6. Step 6: Final answer
    x = 1,309.45

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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.