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Finding the Fourth Proportional to 2,264.59, 3,402.07 and 1,608.09

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Solution

The fourth proportional to 2,264.59, 3,402.07 and 1,608.09 is: 2,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.59 : 3,402.07 = 1,608.09 : x
  2. Step 2: Convert to fraction form
    2,264.59/3,402.07 = 1,608.09/x
  3. Step 3: Cross multiply
    2,264.59x = 3,402.07 × 1,608.09
  4. Step 4: Simplify right side
    2,264.59x = 5,470,817.97
  5. Step 5: Solve for x
    x = 5,470,817.97/2,264.59
  6. Step 6: Final answer
    x = 2,415.81

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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.