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Finding the Fourth Proportional to 2,593.24, 3,871.02 and 2,400.50

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Solution

The fourth proportional to 2,593.24, 3,871.02 and 2,400.50 is: 3,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.24 : 3,871.02 = 2,400.50 : x
  2. Step 2: Convert to fraction form
    2,593.24/3,871.02 = 2,400.50/x
  3. Step 3: Cross multiply
    2,593.24x = 3,871.02 × 2,400.50
  4. Step 4: Simplify right side
    2,593.24x = 9,292,383.51
  5. Step 5: Solve for x
    x = 9,292,383.51/2,593.24
  6. Step 6: Final answer
    x = 3,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.