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Finding the Fourth Proportional to 2,297.96, 3,447.30 and 1,066.64

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Solution

The fourth proportional to 2,297.96, 3,447.30 and 1,066.64 is: 1,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.96 : 3,447.30 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    2,297.96/3,447.30 = 1,066.64/x
  3. Step 3: Cross multiply
    2,297.96x = 3,447.30 × 1,066.64
  4. Step 4: Simplify right side
    2,297.96x = 3,677,028.07
  5. Step 5: Solve for x
    x = 3,677,028.07/2,297.96
  6. Step 6: Final answer
    x = 1,600.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.