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Finding the Fourth Proportional to 2,591.68, 3,577.40 and 1,529.40

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Solution

The fourth proportional to 2,591.68, 3,577.40 and 1,529.40 is: 2,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.68 : 3,577.40 = 1,529.40 : x
  2. Step 2: Convert to fraction form
    2,591.68/3,577.40 = 1,529.40/x
  3. Step 3: Cross multiply
    2,591.68x = 3,577.40 × 1,529.40
  4. Step 4: Simplify right side
    2,591.68x = 5,471,275.56
  5. Step 5: Solve for x
    x = 5,471,275.56/2,591.68
  6. Step 6: Final answer
    x = 2,111.09

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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.