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Finding the Fourth Proportional to 2,348.04, 3,523.91 and 868.73

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Solution

The fourth proportional to 2,348.04, 3,523.91 and 868.73 is: 1,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.04 : 3,523.91 = 868.73 : x
  2. Step 2: Convert to fraction form
    2,348.04/3,523.91 = 868.73/x
  3. Step 3: Cross multiply
    2,348.04x = 3,523.91 × 868.73
  4. Step 4: Simplify right side
    2,348.04x = 3,061,304.37
  5. Step 5: Solve for x
    x = 3,061,304.37/2,348.04
  6. Step 6: Final answer
    x = 1,303.77

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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.