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Finding the Fourth Proportional to 1,820.61, 2,732.74 and 1,227.56

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Solution

The fourth proportional to 1,820.61, 2,732.74 and 1,227.56 is: 1,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.61 : 2,732.74 = 1,227.56 : x
  2. Step 2: Convert to fraction form
    1,820.61/2,732.74 = 1,227.56/x
  3. Step 3: Cross multiply
    1,820.61x = 2,732.74 × 1,227.56
  4. Step 4: Simplify right side
    1,820.61x = 3,354,602.31
  5. Step 5: Solve for x
    x = 3,354,602.31/1,820.61
  6. Step 6: Final answer
    x = 1,842.57

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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.