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Finding the Fourth Proportional to 1,481.08, 2,219.42 and 1,319.08

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Solution

The fourth proportional to 1,481.08, 2,219.42 and 1,319.08 is: 1,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.08 : 2,219.42 = 1,319.08 : x
  2. Step 2: Convert to fraction form
    1,481.08/2,219.42 = 1,319.08/x
  3. Step 3: Cross multiply
    1,481.08x = 2,219.42 × 1,319.08
  4. Step 4: Simplify right side
    1,481.08x = 2,927,592.53
  5. Step 5: Solve for x
    x = 2,927,592.53/1,481.08
  6. Step 6: Final answer
    x = 1,976.66

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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.