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Finding the Fourth Proportional to 2,090.40, 3,136.62 and 979.35

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Solution

The fourth proportional to 2,090.40, 3,136.62 and 979.35 is: 1,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.40 : 3,136.62 = 979.35 : x
  2. Step 2: Convert to fraction form
    2,090.40/3,136.62 = 979.35/x
  3. Step 3: Cross multiply
    2,090.40x = 3,136.62 × 979.35
  4. Step 4: Simplify right side
    2,090.40x = 3,071,848.80
  5. Step 5: Solve for x
    x = 3,071,848.80/2,090.40
  6. Step 6: Final answer
    x = 1,469.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.