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Finding the Fourth Proportional to 3,502.40, 4,833.36 and 1,930.46

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Solution

The fourth proportional to 3,502.40, 4,833.36 and 1,930.46 is: 2,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.40 : 4,833.36 = 1,930.46 : x
  2. Step 2: Convert to fraction form
    3,502.40/4,833.36 = 1,930.46/x
  3. Step 3: Cross multiply
    3,502.40x = 4,833.36 × 1,930.46
  4. Step 4: Simplify right side
    3,502.40x = 9,330,608.15
  5. Step 5: Solve for x
    x = 9,330,608.15/3,502.40
  6. Step 6: Final answer
    x = 2,664.06

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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.