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Finding the Fourth Proportional to 2,754.74, 3,801.55 and 1,495.80

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Solution

The fourth proportional to 2,754.74, 3,801.55 and 1,495.80 is: 2,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.74 : 3,801.55 = 1,495.80 : x
  2. Step 2: Convert to fraction form
    2,754.74/3,801.55 = 1,495.80/x
  3. Step 3: Cross multiply
    2,754.74x = 3,801.55 × 1,495.80
  4. Step 4: Simplify right side
    2,754.74x = 5,686,358.49
  5. Step 5: Solve for x
    x = 5,686,358.49/2,754.74
  6. Step 6: Final answer
    x = 2,064.21

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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.