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Finding the Fourth Proportional to 2,363.32, 3,544.50 and 631.96

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Solution

The fourth proportional to 2,363.32, 3,544.50 and 631.96 is: 947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.32 : 3,544.50 = 631.96 : x
  2. Step 2: Convert to fraction form
    2,363.32/3,544.50 = 631.96/x
  3. Step 3: Cross multiply
    2,363.32x = 3,544.50 × 631.96
  4. Step 4: Simplify right side
    2,363.32x = 2,239,982.22
  5. Step 5: Solve for x
    x = 2,239,982.22/2,363.32
  6. Step 6: Final answer
    x = 947.81

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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.