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Finding the Fourth Proportional to 2,300.96, 3,452.12 and 840.32

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Solution

The fourth proportional to 2,300.96, 3,452.12 and 840.32 is: 1,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.96 : 3,452.12 = 840.32 : x
  2. Step 2: Convert to fraction form
    2,300.96/3,452.12 = 840.32/x
  3. Step 3: Cross multiply
    2,300.96x = 3,452.12 × 840.32
  4. Step 4: Simplify right side
    2,300.96x = 2,900,885.48
  5. Step 5: Solve for x
    x = 2,900,885.48/2,300.96
  6. Step 6: Final answer
    x = 1,260.73

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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.