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Finding the Fourth Proportional to 2,729.59, 3,762.42 and 1,843.84

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Solution

The fourth proportional to 2,729.59, 3,762.42 and 1,843.84 is: 2,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.59 : 3,762.42 = 1,843.84 : x
  2. Step 2: Convert to fraction form
    2,729.59/3,762.42 = 1,843.84/x
  3. Step 3: Cross multiply
    2,729.59x = 3,762.42 × 1,843.84
  4. Step 4: Simplify right side
    2,729.59x = 6,937,300.49
  5. Step 5: Solve for x
    x = 6,937,300.49/2,729.59
  6. Step 6: Final answer
    x = 2,541.52

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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.