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Finding the Fourth Proportional to 1,518.22, 2,265.49 and 1,354.78

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Solution

The fourth proportional to 1,518.22, 2,265.49 and 1,354.78 is: 2,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.22 : 2,265.49 = 1,354.78 : x
  2. Step 2: Convert to fraction form
    1,518.22/2,265.49 = 1,354.78/x
  3. Step 3: Cross multiply
    1,518.22x = 2,265.49 × 1,354.78
  4. Step 4: Simplify right side
    1,518.22x = 3,069,240.54
  5. Step 5: Solve for x
    x = 3,069,240.54/1,518.22
  6. Step 6: Final answer
    x = 2,021.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.