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Finding the Fourth Proportional to 1,780.73, 2,667.22 and 1,626.02

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Solution

The fourth proportional to 1,780.73, 2,667.22 and 1,626.02 is: 2,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.73 : 2,667.22 = 1,626.02 : x
  2. Step 2: Convert to fraction form
    1,780.73/2,667.22 = 1,626.02/x
  3. Step 3: Cross multiply
    1,780.73x = 2,667.22 × 1,626.02
  4. Step 4: Simplify right side
    1,780.73x = 4,336,953.06
  5. Step 5: Solve for x
    x = 4,336,953.06/1,780.73
  6. Step 6: Final answer
    x = 2,435.49

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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.