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Finding the Fourth Proportional to 2,699.24, 4,048.88 and 967.88

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Solution

The fourth proportional to 2,699.24, 4,048.88 and 967.88 is: 1,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.24 : 4,048.88 = 967.88 : x
  2. Step 2: Convert to fraction form
    2,699.24/4,048.88 = 967.88/x
  3. Step 3: Cross multiply
    2,699.24x = 4,048.88 × 967.88
  4. Step 4: Simplify right side
    2,699.24x = 3,918,829.97
  5. Step 5: Solve for x
    x = 3,918,829.97/2,699.24
  6. Step 6: Final answer
    x = 1,451.83

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1.5x scale

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.