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Finding the Fourth Proportional to 2,349.76, 3,232.56 and 2,032.66

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Solution

The fourth proportional to 2,349.76, 3,232.56 and 2,032.66 is: 2,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.76 : 3,232.56 = 2,032.66 : x
  2. Step 2: Convert to fraction form
    2,349.76/3,232.56 = 2,032.66/x
  3. Step 3: Cross multiply
    2,349.76x = 3,232.56 × 2,032.66
  4. Step 4: Simplify right side
    2,349.76x = 6,570,695.41
  5. Step 5: Solve for x
    x = 6,570,695.41/2,349.76
  6. Step 6: Final answer
    x = 2,796.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.