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Finding the Fourth Proportional to 2,675.38, 4,004.33 and 2,419.60

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Solution

The fourth proportional to 2,675.38, 4,004.33 and 2,419.60 is: 3,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.38 : 4,004.33 = 2,419.60 : x
  2. Step 2: Convert to fraction form
    2,675.38/4,004.33 = 2,419.60/x
  3. Step 3: Cross multiply
    2,675.38x = 4,004.33 × 2,419.60
  4. Step 4: Simplify right side
    2,675.38x = 9,688,876.87
  5. Step 5: Solve for x
    x = 9,688,876.87/2,675.38
  6. Step 6: Final answer
    x = 3,621.50

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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.