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Finding the Fourth Proportional to 1,937.66, 2,891.24 and 1,820.12

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Solution

The fourth proportional to 1,937.66, 2,891.24 and 1,820.12 is: 2,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.66 : 2,891.24 = 1,820.12 : x
  2. Step 2: Convert to fraction form
    1,937.66/2,891.24 = 1,820.12/x
  3. Step 3: Cross multiply
    1,937.66x = 2,891.24 × 1,820.12
  4. Step 4: Simplify right side
    1,937.66x = 5,262,403.75
  5. Step 5: Solve for x
    x = 5,262,403.75/1,937.66
  6. Step 6: Final answer
    x = 2,715.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.