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Finding the Fourth Proportional to 2,122.96, 3,184.44 and 584.08

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Solution

The fourth proportional to 2,122.96, 3,184.44 and 584.08 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.96 : 3,184.44 = 584.08 : x
  2. Step 2: Convert to fraction form
    2,122.96/3,184.44 = 584.08/x
  3. Step 3: Cross multiply
    2,122.96x = 3,184.44 × 584.08
  4. Step 4: Simplify right side
    2,122.96x = 1,859,967.72
  5. Step 5: Solve for x
    x = 1,859,967.72/2,122.96
  6. Step 6: Final answer
    x = 876.12

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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.