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Finding the Fourth Proportional to 2,297.76, 3,446.62 and 1,064.49

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Solution

The fourth proportional to 2,297.76, 3,446.62 and 1,064.49 is: 1,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,446.62 = 1,064.49 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,446.62 = 1,064.49/x
  3. Step 3: Cross multiply
    2,297.76x = 3,446.62 × 1,064.49
  4. Step 4: Simplify right side
    2,297.76x = 3,668,892.52
  5. Step 5: Solve for x
    x = 3,668,892.52/2,297.76
  6. Step 6: Final answer
    x = 1,596.73

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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.