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Finding the Fourth Proportional to 2,699.30, 4,048.96 and 967.52

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Solution

The fourth proportional to 2,699.30, 4,048.96 and 967.52 is: 1,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.30 : 4,048.96 = 967.52 : x
  2. Step 2: Convert to fraction form
    2,699.30/4,048.96 = 967.52/x
  3. Step 3: Cross multiply
    2,699.30x = 4,048.96 × 967.52
  4. Step 4: Simplify right side
    2,699.30x = 3,917,449.78
  5. Step 5: Solve for x
    x = 3,917,449.78/2,699.30
  6. Step 6: Final answer
    x = 1,451.28

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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.