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Finding the Fourth Proportional to 1,902.80, 2,854.24 and 1,470.48

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Solution

The fourth proportional to 1,902.80, 2,854.24 and 1,470.48 is: 2,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.80 : 2,854.24 = 1,470.48 : x
  2. Step 2: Convert to fraction form
    1,902.80/2,854.24 = 1,470.48/x
  3. Step 3: Cross multiply
    1,902.80x = 2,854.24 × 1,470.48
  4. Step 4: Simplify right side
    1,902.80x = 4,197,102.84
  5. Step 5: Solve for x
    x = 4,197,102.84/1,902.80
  6. Step 6: Final answer
    x = 2,205.75

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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.