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Finding the Fourth Proportional to 1,484.37, 2,225.82 and 868.23

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Solution

The fourth proportional to 1,484.37, 2,225.82 and 868.23 is: 1,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.37 : 2,225.82 = 868.23 : x
  2. Step 2: Convert to fraction form
    1,484.37/2,225.82 = 868.23/x
  3. Step 3: Cross multiply
    1,484.37x = 2,225.82 × 868.23
  4. Step 4: Simplify right side
    1,484.37x = 1,932,523.70
  5. Step 5: Solve for x
    x = 1,932,523.70/1,484.37
  6. Step 6: Final answer
    x = 1,301.92

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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.