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Finding the Fourth Proportional to 2,359.81, 3,540.14 and 1,924.92

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Solution

The fourth proportional to 2,359.81, 3,540.14 and 1,924.92 is: 2,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.81 : 3,540.14 = 1,924.92 : x
  2. Step 2: Convert to fraction form
    2,359.81/3,540.14 = 1,924.92/x
  3. Step 3: Cross multiply
    2,359.81x = 3,540.14 × 1,924.92
  4. Step 4: Simplify right side
    2,359.81x = 6,814,468.59
  5. Step 5: Solve for x
    x = 6,814,468.59/2,359.81
  6. Step 6: Final answer
    x = 2,887.72

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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.