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Finding the Fourth Proportional to 2,303.31, 3,446.85 and 1,982.55

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Solution

The fourth proportional to 2,303.31, 3,446.85 and 1,982.55 is: 2,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.31 : 3,446.85 = 1,982.55 : x
  2. Step 2: Convert to fraction form
    2,303.31/3,446.85 = 1,982.55/x
  3. Step 3: Cross multiply
    2,303.31x = 3,446.85 × 1,982.55
  4. Step 4: Simplify right side
    2,303.31x = 6,833,552.47
  5. Step 5: Solve for x
    x = 6,833,552.47/2,303.31
  6. Step 6: Final answer
    x = 2,966.84

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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.