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Finding the Fourth Proportional to 3,681.01, 5,507.74 and 2,194.80

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Solution

The fourth proportional to 3,681.01, 5,507.74 and 2,194.80 is: 3,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.01 : 5,507.74 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    3,681.01/5,507.74 = 2,194.80/x
  3. Step 3: Cross multiply
    3,681.01x = 5,507.74 × 2,194.80
  4. Step 4: Simplify right side
    3,681.01x = 12,088,387.75
  5. Step 5: Solve for x
    x = 12,088,387.75/3,681.01
  6. Step 6: Final answer
    x = 3,283.99

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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.