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Finding the Fourth Proportional to 2,427.82, 3,641.00 and 672.40

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Solution

The fourth proportional to 2,427.82, 3,641.00 and 672.40 is: 1,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.82 : 3,641.00 = 672.40 : x
  2. Step 2: Convert to fraction form
    2,427.82/3,641.00 = 672.40/x
  3. Step 3: Cross multiply
    2,427.82x = 3,641.00 × 672.40
  4. Step 4: Simplify right side
    2,427.82x = 2,448,213.37
  5. Step 5: Solve for x
    x = 2,448,213.37/2,427.82
  6. Step 6: Final answer
    x = 1,008.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.