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Finding the Fourth Proportional to 2,365.24, 3,548.54 and 721.91

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Solution

The fourth proportional to 2,365.24, 3,548.54 and 721.91 is: 1,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.24 : 3,548.54 = 721.91 : x
  2. Step 2: Convert to fraction form
    2,365.24/3,548.54 = 721.91/x
  3. Step 3: Cross multiply
    2,365.24x = 3,548.54 × 721.91
  4. Step 4: Simplify right side
    2,365.24x = 2,561,726.51
  5. Step 5: Solve for x
    x = 2,561,726.51/2,365.24
  6. Step 6: Final answer
    x = 1,083.07

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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.