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Finding the Fourth Proportional to 2,244.47, 3,096.57 and 1,406.23

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Solution

The fourth proportional to 2,244.47, 3,096.57 and 1,406.23 is: 1,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.47 : 3,096.57 = 1,406.23 : x
  2. Step 2: Convert to fraction form
    2,244.47/3,096.57 = 1,406.23/x
  3. Step 3: Cross multiply
    2,244.47x = 3,096.57 × 1,406.23
  4. Step 4: Simplify right side
    2,244.47x = 4,354,489.63
  5. Step 5: Solve for x
    x = 4,354,489.63/2,244.47
  6. Step 6: Final answer
    x = 1,940.10

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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.