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Finding the Fourth Proportional to 3,284.66, 4,922.88 and 1,641.68

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Solution

The fourth proportional to 3,284.66, 4,922.88 and 1,641.68 is: 2,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.66 : 4,922.88 = 1,641.68 : x
  2. Step 2: Convert to fraction form
    3,284.66/4,922.88 = 1,641.68/x
  3. Step 3: Cross multiply
    3,284.66x = 4,922.88 × 1,641.68
  4. Step 4: Simplify right side
    3,284.66x = 8,081,781.33
  5. Step 5: Solve for x
    x = 8,081,781.33/3,284.66
  6. Step 6: Final answer
    x = 2,460.46

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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.