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Finding the Fourth Proportional to 1,689.18, 2,331 and 980.98

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Solution

The fourth proportional to 1,689.18, 2,331 and 980.98 is: 1,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.18 : 2,331 = 980.98 : x
  2. Step 2: Convert to fraction form
    1,689.18/2,331 = 980.98/x
  3. Step 3: Cross multiply
    1,689.18x = 2,331 × 980.98
  4. Step 4: Simplify right side
    1,689.18x = 2,286,664.38
  5. Step 5: Solve for x
    x = 2,286,664.38/1,689.18
  6. Step 6: Final answer
    x = 1,353.71

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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.