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Finding the Fourth Proportional to 3,083.77, 4,255.54 and 2,034.01

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Solution

The fourth proportional to 3,083.77, 4,255.54 and 2,034.01 is: 2,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.77 : 4,255.54 = 2,034.01 : x
  2. Step 2: Convert to fraction form
    3,083.77/4,255.54 = 2,034.01/x
  3. Step 3: Cross multiply
    3,083.77x = 4,255.54 × 2,034.01
  4. Step 4: Simplify right side
    3,083.77x = 8,655,810.92
  5. Step 5: Solve for x
    x = 8,655,810.92/3,083.77
  6. Step 6: Final answer
    x = 2,806.89

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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.