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Finding the Fourth Proportional to 2,064.88, 3,097.25 and 584.20

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Solution

The fourth proportional to 2,064.88, 3,097.25 and 584.20 is: 876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.88 : 3,097.25 = 584.20 : x
  2. Step 2: Convert to fraction form
    2,064.88/3,097.25 = 584.20/x
  3. Step 3: Cross multiply
    2,064.88x = 3,097.25 × 584.20
  4. Step 4: Simplify right side
    2,064.88x = 1,809,413.45
  5. Step 5: Solve for x
    x = 1,809,413.45/2,064.88
  6. Step 6: Final answer
    x = 876.28

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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.