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Finding the Fourth Proportional to 2,739.78, 3,780.84 and 1,497.78

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Solution

The fourth proportional to 2,739.78, 3,780.84 and 1,497.78 is: 2,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.78 : 3,780.84 = 1,497.78 : x
  2. Step 2: Convert to fraction form
    2,739.78/3,780.84 = 1,497.78/x
  3. Step 3: Cross multiply
    2,739.78x = 3,780.84 × 1,497.78
  4. Step 4: Simplify right side
    2,739.78x = 5,662,866.54
  5. Step 5: Solve for x
    x = 5,662,866.54/2,739.78
  6. Step 6: Final answer
    x = 2,066.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.