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Finding the Fourth Proportional to 3,641.49, 5,024.84 and 2,047.81

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Solution

The fourth proportional to 3,641.49, 5,024.84 and 2,047.81 is: 2,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.49 : 5,024.84 = 2,047.81 : x
  2. Step 2: Convert to fraction form
    3,641.49/5,024.84 = 2,047.81/x
  3. Step 3: Cross multiply
    3,641.49x = 5,024.84 × 2,047.81
  4. Step 4: Simplify right side
    3,641.49x = 10,289,917.60
  5. Step 5: Solve for x
    x = 10,289,917.60/3,641.49
  6. Step 6: Final answer
    x = 2,825.74

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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.