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Finding the Fourth Proportional to 2,170.02, 3,257.46 and 872.40

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Solution

The fourth proportional to 2,170.02, 3,257.46 and 872.40 is: 1,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.02 : 3,257.46 = 872.40 : x
  2. Step 2: Convert to fraction form
    2,170.02/3,257.46 = 872.40/x
  3. Step 3: Cross multiply
    2,170.02x = 3,257.46 × 872.40
  4. Step 4: Simplify right side
    2,170.02x = 2,841,808.10
  5. Step 5: Solve for x
    x = 2,841,808.10/2,170.02
  6. Step 6: Final answer
    x = 1,309.58

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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.