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Finding the Fourth Proportional to 4,531.34, 6,797.23 and 1,610.08

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Solution

The fourth proportional to 4,531.34, 6,797.23 and 1,610.08 is: 2,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.34 : 6,797.23 = 1,610.08 : x
  2. Step 2: Convert to fraction form
    4,531.34/6,797.23 = 1,610.08/x
  3. Step 3: Cross multiply
    4,531.34x = 6,797.23 × 1,610.08
  4. Step 4: Simplify right side
    4,531.34x = 10,944,084.08
  5. Step 5: Solve for x
    x = 10,944,084.08/4,531.34
  6. Step 6: Final answer
    x = 2,415.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.