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Finding the Fourth Proportional to 2,606.62, 3,597.11 and 1,411.59

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Solution

The fourth proportional to 2,606.62, 3,597.11 and 1,411.59 is: 1,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.62 : 3,597.11 = 1,411.59 : x
  2. Step 2: Convert to fraction form
    2,606.62/3,597.11 = 1,411.59/x
  3. Step 3: Cross multiply
    2,606.62x = 3,597.11 × 1,411.59
  4. Step 4: Simplify right side
    2,606.62x = 5,077,626.52
  5. Step 5: Solve for x
    x = 5,077,626.52/2,606.62
  6. Step 6: Final answer
    x = 1,947.97

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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.