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Finding the Fourth Proportional to 2,453.88, 3,681.13 and 722.51

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Solution

The fourth proportional to 2,453.88, 3,681.13 and 722.51 is: 1,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.88 : 3,681.13 = 722.51 : x
  2. Step 2: Convert to fraction form
    2,453.88/3,681.13 = 722.51/x
  3. Step 3: Cross multiply
    2,453.88x = 3,681.13 × 722.51
  4. Step 4: Simplify right side
    2,453.88x = 2,659,653.24
  5. Step 5: Solve for x
    x = 2,659,653.24/2,453.88
  6. Step 6: Final answer
    x = 1,083.86

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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.