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Finding the Fourth Proportional to 3,207.42, 4,809.09 and 1,648.02

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Solution

The fourth proportional to 3,207.42, 4,809.09 and 1,648.02 is: 2,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.42 : 4,809.09 = 1,648.02 : x
  2. Step 2: Convert to fraction form
    3,207.42/4,809.09 = 1,648.02/x
  3. Step 3: Cross multiply
    3,207.42x = 4,809.09 × 1,648.02
  4. Step 4: Simplify right side
    3,207.42x = 7,925,476.50
  5. Step 5: Solve for x
    x = 7,925,476.50/3,207.42
  6. Step 6: Final answer
    x = 2,470.98

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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.