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Finding the Fourth Proportional to 2,306.04, 3,459.38 and 844.82

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Solution

The fourth proportional to 2,306.04, 3,459.38 and 844.82 is: 1,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.04 : 3,459.38 = 844.82 : x
  2. Step 2: Convert to fraction form
    2,306.04/3,459.38 = 844.82/x
  3. Step 3: Cross multiply
    2,306.04x = 3,459.38 × 844.82
  4. Step 4: Simplify right side
    2,306.04x = 2,922,553.41
  5. Step 5: Solve for x
    x = 2,922,553.41/2,306.04
  6. Step 6: Final answer
    x = 1,267.35

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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.