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Finding the Fourth Proportional to 2,431.68, 3,355.92 and 1,500

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Solution

The fourth proportional to 2,431.68, 3,355.92 and 1,500 is: 2,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.68 : 3,355.92 = 1,500 : x
  2. Step 2: Convert to fraction form
    2,431.68/3,355.92 = 1,500/x
  3. Step 3: Cross multiply
    2,431.68x = 3,355.92 × 1,500
  4. Step 4: Simplify right side
    2,431.68x = 5,033,880
  5. Step 5: Solve for x
    x = 5,033,880/2,431.68
  6. Step 6: Final answer
    x = 2,070.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.