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Finding the Fourth Proportional to 1,930.77, 2,882.18 and 1,697.23

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Solution

The fourth proportional to 1,930.77, 2,882.18 and 1,697.23 is: 2,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.77 : 2,882.18 = 1,697.23 : x
  2. Step 2: Convert to fraction form
    1,930.77/2,882.18 = 1,697.23/x
  3. Step 3: Cross multiply
    1,930.77x = 2,882.18 × 1,697.23
  4. Step 4: Simplify right side
    1,930.77x = 4,891,713.88
  5. Step 5: Solve for x
    x = 4,891,713.88/1,930.77
  6. Step 6: Final answer
    x = 2,533.56

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