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Finding the Fourth Proportional to 1,724.08, 2,584 and 798.37

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Solution

The fourth proportional to 1,724.08, 2,584 and 798.37 is: 1,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.08 : 2,584 = 798.37 : x
  2. Step 2: Convert to fraction form
    1,724.08/2,584 = 798.37/x
  3. Step 3: Cross multiply
    1,724.08x = 2,584 × 798.37
  4. Step 4: Simplify right side
    1,724.08x = 2,062,988.08
  5. Step 5: Solve for x
    x = 2,062,988.08/1,724.08
  6. Step 6: Final answer
    x = 1,196.57

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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.