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Finding the Fourth Proportional to 1,486.62, 2,049.30 and 988.20

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Solution

The fourth proportional to 1,486.62, 2,049.30 and 988.20 is: 1,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.62 : 2,049.30 = 988.20 : x
  2. Step 2: Convert to fraction form
    1,486.62/2,049.30 = 988.20/x
  3. Step 3: Cross multiply
    1,486.62x = 2,049.30 × 988.20
  4. Step 4: Simplify right side
    1,486.62x = 2,025,118.26
  5. Step 5: Solve for x
    x = 2,025,118.26/1,486.62
  6. Step 6: Final answer
    x = 1,362.23

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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.