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Finding the Fourth Proportional to 2,967.60, 4,449.87 and 992.51

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Solution

The fourth proportional to 2,967.60, 4,449.87 and 992.51 is: 1,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.60 : 4,449.87 = 992.51 : x
  2. Step 2: Convert to fraction form
    2,967.60/4,449.87 = 992.51/x
  3. Step 3: Cross multiply
    2,967.60x = 4,449.87 × 992.51
  4. Step 4: Simplify right side
    2,967.60x = 4,416,540.47
  5. Step 5: Solve for x
    x = 4,416,540.47/2,967.60
  6. Step 6: Final answer
    x = 1,488.25

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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.