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Finding the Fourth Proportional to 2,531.69, 3,493.56 and 1,455

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Solution

The fourth proportional to 2,531.69, 3,493.56 and 1,455 is: 2,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.69 : 3,493.56 = 1,455 : x
  2. Step 2: Convert to fraction form
    2,531.69/3,493.56 = 1,455/x
  3. Step 3: Cross multiply
    2,531.69x = 3,493.56 × 1,455
  4. Step 4: Simplify right side
    2,531.69x = 5,083,129.80
  5. Step 5: Solve for x
    x = 5,083,129.80/2,531.69
  6. Step 6: Final answer
    x = 2,007.80

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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.