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Finding the Fourth Proportional to 1,563.80, 2,348.40 and 1,104.80

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Solution

The fourth proportional to 1,563.80, 2,348.40 and 1,104.80 is: 1,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,348.40 = 1,104.80 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,348.40 = 1,104.80/x
  3. Step 3: Cross multiply
    1,563.80x = 2,348.40 × 1,104.80
  4. Step 4: Simplify right side
    1,563.80x = 2,594,512.32
  5. Step 5: Solve for x
    x = 2,594,512.32/1,563.80
  6. Step 6: Final answer
    x = 1,659.11

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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.