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Finding the Fourth Proportional to 2,740.74, 3,780.27 and 1,795.02

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Solution

The fourth proportional to 2,740.74, 3,780.27 and 1,795.02 is: 2,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.74 : 3,780.27 = 1,795.02 : x
  2. Step 2: Convert to fraction form
    2,740.74/3,780.27 = 1,795.02/x
  3. Step 3: Cross multiply
    2,740.74x = 3,780.27 × 1,795.02
  4. Step 4: Simplify right side
    2,740.74x = 6,785,660.26
  5. Step 5: Solve for x
    x = 6,785,660.26/2,740.74
  6. Step 6: Final answer
    x = 2,475.85

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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.