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Finding the Fourth Proportional to 1,902.47, 2,854.58 and 1,738.44

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Solution

The fourth proportional to 1,902.47, 2,854.58 and 1,738.44 is: 2,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.47 : 2,854.58 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    1,902.47/2,854.58 = 1,738.44/x
  3. Step 3: Cross multiply
    1,902.47x = 2,854.58 × 1,738.44
  4. Step 4: Simplify right side
    1,902.47x = 4,962,507.36
  5. Step 5: Solve for x
    x = 4,962,507.36/1,902.47
  6. Step 6: Final answer
    x = 2,608.46

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1.5x scale

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.