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Finding the Fourth Proportional to 4,531.89, 6,798.65 and 1,609.41

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Solution

The fourth proportional to 4,531.89, 6,798.65 and 1,609.41 is: 2,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.89 : 6,798.65 = 1,609.41 : x
  2. Step 2: Convert to fraction form
    4,531.89/6,798.65 = 1,609.41/x
  3. Step 3: Cross multiply
    4,531.89x = 6,798.65 × 1,609.41
  4. Step 4: Simplify right side
    4,531.89x = 10,941,807.25
  5. Step 5: Solve for x
    x = 10,941,807.25/4,531.89
  6. Step 6: Final answer
    x = 2,414.40

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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.