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Finding the Fourth Proportional to 1,924.82, 2,867.36 and 1,805.30

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Solution

The fourth proportional to 1,924.82, 2,867.36 and 1,805.30 is: 2,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.82 : 2,867.36 = 1,805.30 : x
  2. Step 2: Convert to fraction form
    1,924.82/2,867.36 = 1,805.30/x
  3. Step 3: Cross multiply
    1,924.82x = 2,867.36 × 1,805.30
  4. Step 4: Simplify right side
    1,924.82x = 5,176,428.41
  5. Step 5: Solve for x
    x = 5,176,428.41/1,924.82
  6. Step 6: Final answer
    x = 2,689.31

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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.