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Finding the Fourth Proportional to 2,254.16, 3,380.36 and 937.04

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Solution

The fourth proportional to 2,254.16, 3,380.36 and 937.04 is: 1,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.16 : 3,380.36 = 937.04 : x
  2. Step 2: Convert to fraction form
    2,254.16/3,380.36 = 937.04/x
  3. Step 3: Cross multiply
    2,254.16x = 3,380.36 × 937.04
  4. Step 4: Simplify right side
    2,254.16x = 3,167,510.95
  5. Step 5: Solve for x
    x = 3,167,510.95/2,254.16
  6. Step 6: Final answer
    x = 1,405.18

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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.