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Finding the Fourth Proportional to 2,321.56, 3,481.68 and 655.57

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Solution

The fourth proportional to 2,321.56, 3,481.68 and 655.57 is: 983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.56 : 3,481.68 = 655.57 : x
  2. Step 2: Convert to fraction form
    2,321.56/3,481.68 = 655.57/x
  3. Step 3: Cross multiply
    2,321.56x = 3,481.68 × 655.57
  4. Step 4: Simplify right side
    2,321.56x = 2,282,484.96
  5. Step 5: Solve for x
    x = 2,282,484.96/2,321.56
  6. Step 6: Final answer
    x = 983.17

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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.