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Finding the Fourth Proportional to 2,534.08, 3,497.08 and 1,589.90

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Solution

The fourth proportional to 2,534.08, 3,497.08 and 1,589.90 is: 2,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.08 : 3,497.08 = 1,589.90 : x
  2. Step 2: Convert to fraction form
    2,534.08/3,497.08 = 1,589.90/x
  3. Step 3: Cross multiply
    2,534.08x = 3,497.08 × 1,589.90
  4. Step 4: Simplify right side
    2,534.08x = 5,560,012.26
  5. Step 5: Solve for x
    x = 5,560,012.26/2,534.08
  6. Step 6: Final answer
    x = 2,194.10

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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.