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Finding the Fourth Proportional to 3,681.49, 5,524.00 and 1,832.76

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Solution

The fourth proportional to 3,681.49, 5,524.00 and 1,832.76 is: 2,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.49 : 5,524.00 = 1,832.76 : x
  2. Step 2: Convert to fraction form
    3,681.49/5,524.00 = 1,832.76/x
  3. Step 3: Cross multiply
    3,681.49x = 5,524.00 × 1,832.76
  4. Step 4: Simplify right side
    3,681.49x = 10,124,161.66
  5. Step 5: Solve for x
    x = 10,124,161.66/3,681.49
  6. Step 6: Final answer
    x = 2,750.02

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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.