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Finding the Fourth Proportional to 1,650.35, 2,473.25 and 868.82

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Solution

The fourth proportional to 1,650.35, 2,473.25 and 868.82 is: 1,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.35 : 2,473.25 = 868.82 : x
  2. Step 2: Convert to fraction form
    1,650.35/2,473.25 = 868.82/x
  3. Step 3: Cross multiply
    1,650.35x = 2,473.25 × 868.82
  4. Step 4: Simplify right side
    1,650.35x = 2,148,792.35
  5. Step 5: Solve for x
    x = 2,148,792.35/1,650.35
  6. Step 6: Final answer
    x = 1,302.02

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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.