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Finding the Fourth Proportional to 2,334.92, 3,501.30 and 873.14

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Solution

The fourth proportional to 2,334.92, 3,501.30 and 873.14 is: 1,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.92 : 3,501.30 = 873.14 : x
  2. Step 2: Convert to fraction form
    2,334.92/3,501.30 = 873.14/x
  3. Step 3: Cross multiply
    2,334.92x = 3,501.30 × 873.14
  4. Step 4: Simplify right side
    2,334.92x = 3,057,125.08
  5. Step 5: Solve for x
    x = 3,057,125.08/2,334.92
  6. Step 6: Final answer
    x = 1,309.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.