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Finding the Fourth Proportional to 1,685.52, 2,523.62 and 862.02

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Solution

The fourth proportional to 1,685.52, 2,523.62 and 862.02 is: 1,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.52 : 2,523.62 = 862.02 : x
  2. Step 2: Convert to fraction form
    1,685.52/2,523.62 = 862.02/x
  3. Step 3: Cross multiply
    1,685.52x = 2,523.62 × 862.02
  4. Step 4: Simplify right side
    1,685.52x = 2,175,413.07
  5. Step 5: Solve for x
    x = 2,175,413.07/1,685.52
  6. Step 6: Final answer
    x = 1,290.65

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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.