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Finding the Fourth Proportional to 2,170.32, 3,254.13 and 937.05

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Solution

The fourth proportional to 2,170.32, 3,254.13 and 937.05 is: 1,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.32 : 3,254.13 = 937.05 : x
  2. Step 2: Convert to fraction form
    2,170.32/3,254.13 = 937.05/x
  3. Step 3: Cross multiply
    2,170.32x = 3,254.13 × 937.05
  4. Step 4: Simplify right side
    2,170.32x = 3,049,282.52
  5. Step 5: Solve for x
    x = 3,049,282.52/2,170.32
  6. Step 6: Final answer
    x = 1,404.99

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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.