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Finding the Fourth Proportional to 1,833.71, 2,524.20 and 1,583.51

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Solution

The fourth proportional to 1,833.71, 2,524.20 and 1,583.51 is: 2,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.71 : 2,524.20 = 1,583.51 : x
  2. Step 2: Convert to fraction form
    1,833.71/2,524.20 = 1,583.51/x
  3. Step 3: Cross multiply
    1,833.71x = 2,524.20 × 1,583.51
  4. Step 4: Simplify right side
    1,833.71x = 3,997,095.94
  5. Step 5: Solve for x
    x = 3,997,095.94/1,833.71
  6. Step 6: Final answer
    x = 2,179.79

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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.