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Finding the Fourth Proportional to 2,321.04, 3,487 and 1,500.96

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Solution

The fourth proportional to 2,321.04, 3,487 and 1,500.96 is: 2,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.04 : 3,487 = 1,500.96 : x
  2. Step 2: Convert to fraction form
    2,321.04/3,487 = 1,500.96/x
  3. Step 3: Cross multiply
    2,321.04x = 3,487 × 1,500.96
  4. Step 4: Simplify right side
    2,321.04x = 5,233,847.52
  5. Step 5: Solve for x
    x = 5,233,847.52/2,321.04
  6. Step 6: Final answer
    x = 2,254.96

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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.