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Finding the Fourth Proportional to 3,319.60, 4,979.40 and 854.42

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Solution

The fourth proportional to 3,319.60, 4,979.40 and 854.42 is: 1,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.60 : 4,979.40 = 854.42 : x
  2. Step 2: Convert to fraction form
    3,319.60/4,979.40 = 854.42/x
  3. Step 3: Cross multiply
    3,319.60x = 4,979.40 × 854.42
  4. Step 4: Simplify right side
    3,319.60x = 4,254,498.95
  5. Step 5: Solve for x
    x = 4,254,498.95/3,319.60
  6. Step 6: Final answer
    x = 1,281.63

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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.