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Finding the Fourth Proportional to 2,591.22, 3,577.07 and 1,528.63

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Solution

The fourth proportional to 2,591.22, 3,577.07 and 1,528.63 is: 2,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.22 : 3,577.07 = 1,528.63 : x
  2. Step 2: Convert to fraction form
    2,591.22/3,577.07 = 1,528.63/x
  3. Step 3: Cross multiply
    2,591.22x = 3,577.07 × 1,528.63
  4. Step 4: Simplify right side
    2,591.22x = 5,468,016.51
  5. Step 5: Solve for x
    x = 5,468,016.51/2,591.22
  6. Step 6: Final answer
    x = 2,110.21

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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.