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Finding the Fourth Proportional to 1,656.56, 2,272.99 and 1,641.08

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Solution

The fourth proportional to 1,656.56, 2,272.99 and 1,641.08 is: 2,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.56 : 2,272.99 = 1,641.08 : x
  2. Step 2: Convert to fraction form
    1,656.56/2,272.99 = 1,641.08/x
  3. Step 3: Cross multiply
    1,656.56x = 2,272.99 × 1,641.08
  4. Step 4: Simplify right side
    1,656.56x = 3,730,158.43
  5. Step 5: Solve for x
    x = 3,730,158.43/1,656.56
  6. Step 6: Final answer
    x = 2,251.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.