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Finding the Fourth Proportional to 2,458.50, 3,684.48 and 1,363.38

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Solution

The fourth proportional to 2,458.50, 3,684.48 and 1,363.38 is: 2,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.50 : 3,684.48 = 1,363.38 : x
  2. Step 2: Convert to fraction form
    2,458.50/3,684.48 = 1,363.38/x
  3. Step 3: Cross multiply
    2,458.50x = 3,684.48 × 1,363.38
  4. Step 4: Simplify right side
    2,458.50x = 5,023,346.34
  5. Step 5: Solve for x
    x = 5,023,346.34/2,458.50
  6. Step 6: Final answer
    x = 2,043.26

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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.