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Finding the Fourth Proportional to 2,362.39, 3,543.30 and 631.15

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Solution

The fourth proportional to 2,362.39, 3,543.30 and 631.15 is: 946.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.39 : 3,543.30 = 631.15 : x
  2. Step 2: Convert to fraction form
    2,362.39/3,543.30 = 631.15/x
  3. Step 3: Cross multiply
    2,362.39x = 3,543.30 × 631.15
  4. Step 4: Simplify right side
    2,362.39x = 2,236,353.80
  5. Step 5: Solve for x
    x = 2,236,353.80/2,362.39
  6. Step 6: Final answer
    x = 946.65

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