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Finding the Fourth Proportional to 1,689.89, 2,332.05 and 982.15

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Solution

The fourth proportional to 1,689.89, 2,332.05 and 982.15 is: 1,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.89 : 2,332.05 = 982.15 : x
  2. Step 2: Convert to fraction form
    1,689.89/2,332.05 = 982.15/x
  3. Step 3: Cross multiply
    1,689.89x = 2,332.05 × 982.15
  4. Step 4: Simplify right side
    1,689.89x = 2,290,413.39
  5. Step 5: Solve for x
    x = 2,290,413.39/1,689.89
  6. Step 6: Final answer
    x = 1,355.37

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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.