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Finding the Fourth Proportional to 3,077.73, 4,618.22 and 1,619.73

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Solution

The fourth proportional to 3,077.73, 4,618.22 and 1,619.73 is: 2,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.73 : 4,618.22 = 1,619.73 : x
  2. Step 2: Convert to fraction form
    3,077.73/4,618.22 = 1,619.73/x
  3. Step 3: Cross multiply
    3,077.73x = 4,618.22 × 1,619.73
  4. Step 4: Simplify right side
    3,077.73x = 7,480,269.48
  5. Step 5: Solve for x
    x = 7,480,269.48/3,077.73
  6. Step 6: Final answer
    x = 2,430.45

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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.