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Finding the Fourth Proportional to 2,334.51, 3,502.71 and 2,297.66

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Solution

The fourth proportional to 2,334.51, 3,502.71 and 2,297.66 is: 3,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.51 : 3,502.71 = 2,297.66 : x
  2. Step 2: Convert to fraction form
    2,334.51/3,502.71 = 2,297.66/x
  3. Step 3: Cross multiply
    2,334.51x = 3,502.71 × 2,297.66
  4. Step 4: Simplify right side
    2,334.51x = 8,048,036.66
  5. Step 5: Solve for x
    x = 8,048,036.66/2,334.51
  6. Step 6: Final answer
    x = 3,447.42

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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.