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Finding the Fourth Proportional to 1,688.24, 2,329.62 and 989.48

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Solution

The fourth proportional to 1,688.24, 2,329.62 and 989.48 is: 1,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.24 : 2,329.62 = 989.48 : x
  2. Step 2: Convert to fraction form
    1,688.24/2,329.62 = 989.48/x
  3. Step 3: Cross multiply
    1,688.24x = 2,329.62 × 989.48
  4. Step 4: Simplify right side
    1,688.24x = 2,305,112.40
  5. Step 5: Solve for x
    x = 2,305,112.40/1,688.24
  6. Step 6: Final answer
    x = 1,365.39

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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.