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Finding the Fourth Proportional to 1,618.41, 2,233.65 and 989.31

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Solution

The fourth proportional to 1,618.41, 2,233.65 and 989.31 is: 1,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.41 : 2,233.65 = 989.31 : x
  2. Step 2: Convert to fraction form
    1,618.41/2,233.65 = 989.31/x
  3. Step 3: Cross multiply
    1,618.41x = 2,233.65 × 989.31
  4. Step 4: Simplify right side
    1,618.41x = 2,209,772.28
  5. Step 5: Solve for x
    x = 2,209,772.28/1,618.41
  6. Step 6: Final answer
    x = 1,365.40

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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.