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Finding the Fourth Proportional to 2,042.74, 2,812.08 and 1,845.64

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Solution

The fourth proportional to 2,042.74, 2,812.08 and 1,845.64 is: 2,540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.74 : 2,812.08 = 1,845.64 : x
  2. Step 2: Convert to fraction form
    2,042.74/2,812.08 = 1,845.64/x
  3. Step 3: Cross multiply
    2,042.74x = 2,812.08 × 1,845.64
  4. Step 4: Simplify right side
    2,042.74x = 5,190,087.33
  5. Step 5: Solve for x
    x = 5,190,087.33/2,042.74
  6. Step 6: Final answer
    x = 2,540.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.