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Finding the Fourth Proportional to 2,606.91, 3,597.56 and 1,411.90

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Solution

The fourth proportional to 2,606.91, 3,597.56 and 1,411.90 is: 1,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.91 : 3,597.56 = 1,411.90 : x
  2. Step 2: Convert to fraction form
    2,606.91/3,597.56 = 1,411.90/x
  3. Step 3: Cross multiply
    2,606.91x = 3,597.56 × 1,411.90
  4. Step 4: Simplify right side
    2,606.91x = 5,079,380.23
  5. Step 5: Solve for x
    x = 5,079,380.23/2,606.91
  6. Step 6: Final answer
    x = 1,948.43

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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.