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Finding the Fourth Proportional to 3,293.01, 4,938.48 and 1,648.65

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Solution

The fourth proportional to 3,293.01, 4,938.48 and 1,648.65 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.01 : 4,938.48 = 1,648.65 : x
  2. Step 2: Convert to fraction form
    3,293.01/4,938.48 = 1,648.65/x
  3. Step 3: Cross multiply
    3,293.01x = 4,938.48 × 1,648.65
  4. Step 4: Simplify right side
    3,293.01x = 8,141,825.05
  5. Step 5: Solve for x
    x = 8,141,825.05/3,293.01
  6. Step 6: Final answer
    x = 2,472.46

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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.