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Finding the Fourth Proportional to 2,297.46, 3,446.55 and 1,066.14

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Solution

The fourth proportional to 2,297.46, 3,446.55 and 1,066.14 is: 1,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.46 : 3,446.55 = 1,066.14 : x
  2. Step 2: Convert to fraction form
    2,297.46/3,446.55 = 1,066.14/x
  3. Step 3: Cross multiply
    2,297.46x = 3,446.55 × 1,066.14
  4. Step 4: Simplify right side
    2,297.46x = 3,674,504.82
  5. Step 5: Solve for x
    x = 3,674,504.82/2,297.46
  6. Step 6: Final answer
    x = 1,599.38

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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.