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Finding the Fourth Proportional to 2,586.52, 3,569.02 and 1,832.01

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Solution

The fourth proportional to 2,586.52, 3,569.02 and 1,832.01 is: 2,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.52 : 3,569.02 = 1,832.01 : x
  2. Step 2: Convert to fraction form
    2,586.52/3,569.02 = 1,832.01/x
  3. Step 3: Cross multiply
    2,586.52x = 3,569.02 × 1,832.01
  4. Step 4: Simplify right side
    2,586.52x = 6,538,480.33
  5. Step 5: Solve for x
    x = 6,538,480.33/2,586.52
  6. Step 6: Final answer
    x = 2,527.91

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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.