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Finding the Fourth Proportional to 2,032.36, 3,049.34 and 862.62

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Solution

The fourth proportional to 2,032.36, 3,049.34 and 862.62 is: 1,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.36 : 3,049.34 = 862.62 : x
  2. Step 2: Convert to fraction form
    2,032.36/3,049.34 = 862.62/x
  3. Step 3: Cross multiply
    2,032.36x = 3,049.34 × 862.62
  4. Step 4: Simplify right side
    2,032.36x = 2,630,421.67
  5. Step 5: Solve for x
    x = 2,630,421.67/2,032.36
  6. Step 6: Final answer
    x = 1,294.27

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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.