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Finding the Fourth Proportional to 2,531.77, 3,797.70 and 1,362.74

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Solution

The fourth proportional to 2,531.77, 3,797.70 and 1,362.74 is: 2,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.77 : 3,797.70 = 1,362.74 : x
  2. Step 2: Convert to fraction form
    2,531.77/3,797.70 = 1,362.74/x
  3. Step 3: Cross multiply
    2,531.77x = 3,797.70 × 1,362.74
  4. Step 4: Simplify right side
    2,531.77x = 5,175,261.26
  5. Step 5: Solve for x
    x = 5,175,261.26/2,531.77
  6. Step 6: Final answer
    x = 2,044.13

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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.