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Finding the Fourth Proportional to 1,688.49, 2,329.80 and 980.42

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Solution

The fourth proportional to 1,688.49, 2,329.80 and 980.42 is: 1,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.49 : 2,329.80 = 980.42 : x
  2. Step 2: Convert to fraction form
    1,688.49/2,329.80 = 980.42/x
  3. Step 3: Cross multiply
    1,688.49x = 2,329.80 × 980.42
  4. Step 4: Simplify right side
    1,688.49x = 2,284,170.87
  5. Step 5: Solve for x
    x = 2,284,170.87/1,688.49
  6. Step 6: Final answer
    x = 1,352.79

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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.