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Finding the Fourth Proportional to 2,729.13, 3,762.99 and 2,282.01

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Solution

The fourth proportional to 2,729.13, 3,762.99 and 2,282.01 is: 3,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.13 : 3,762.99 = 2,282.01 : x
  2. Step 2: Convert to fraction form
    2,729.13/3,762.99 = 2,282.01/x
  3. Step 3: Cross multiply
    2,729.13x = 3,762.99 × 2,282.01
  4. Step 4: Simplify right side
    2,729.13x = 8,587,180.81
  5. Step 5: Solve for x
    x = 8,587,180.81/2,729.13
  6. Step 6: Final answer
    x = 3,146.49

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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.