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Finding the Fourth Proportional to 2,710.88, 4,066.34 and 979.50

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Solution

The fourth proportional to 2,710.88, 4,066.34 and 979.50 is: 1,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.88 : 4,066.34 = 979.50 : x
  2. Step 2: Convert to fraction form
    2,710.88/4,066.34 = 979.50/x
  3. Step 3: Cross multiply
    2,710.88x = 4,066.34 × 979.50
  4. Step 4: Simplify right side
    2,710.88x = 3,982,980.03
  5. Step 5: Solve for x
    x = 3,982,980.03/2,710.88
  6. Step 6: Final answer
    x = 1,469.26

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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.