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Finding the Fourth Proportional to 2,641.24, 3,644.22 and 1,592.56

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Solution

The fourth proportional to 2,641.24, 3,644.22 and 1,592.56 is: 2,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.24 : 3,644.22 = 1,592.56 : x
  2. Step 2: Convert to fraction form
    2,641.24/3,644.22 = 1,592.56/x
  3. Step 3: Cross multiply
    2,641.24x = 3,644.22 × 1,592.56
  4. Step 4: Simplify right side
    2,641.24x = 5,803,639.00
  5. Step 5: Solve for x
    x = 5,803,639.00/2,641.24
  6. Step 6: Final answer
    x = 2,197.32

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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.