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Finding the Fourth Proportional to 2,297.16, 3,443.46 and 909.68

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Solution

The fourth proportional to 2,297.16, 3,443.46 and 909.68 is: 1,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.16 : 3,443.46 = 909.68 : x
  2. Step 2: Convert to fraction form
    2,297.16/3,443.46 = 909.68/x
  3. Step 3: Cross multiply
    2,297.16x = 3,443.46 × 909.68
  4. Step 4: Simplify right side
    2,297.16x = 3,132,446.69
  5. Step 5: Solve for x
    x = 3,132,446.69/2,297.16
  6. Step 6: Final answer
    x = 1,363.62

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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.