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Finding the Fourth Proportional to 2,900.56, 4,001.82 and 1,641.49

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Solution

The fourth proportional to 2,900.56, 4,001.82 and 1,641.49 is: 2,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.56 : 4,001.82 = 1,641.49 : x
  2. Step 2: Convert to fraction form
    2,900.56/4,001.82 = 1,641.49/x
  3. Step 3: Cross multiply
    2,900.56x = 4,001.82 × 1,641.49
  4. Step 4: Simplify right side
    2,900.56x = 6,568,947.51
  5. Step 5: Solve for x
    x = 6,568,947.51/2,900.56
  6. Step 6: Final answer
    x = 2,264.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.