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Finding the Fourth Proportional to 2,242.47, 3,093.81 and 1,404.23

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Solution

The fourth proportional to 2,242.47, 3,093.81 and 1,404.23 is: 1,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.47 : 3,093.81 = 1,404.23 : x
  2. Step 2: Convert to fraction form
    2,242.47/3,093.81 = 1,404.23/x
  3. Step 3: Cross multiply
    2,242.47x = 3,093.81 × 1,404.23
  4. Step 4: Simplify right side
    2,242.47x = 4,344,405.35
  5. Step 5: Solve for x
    x = 4,344,405.35/2,242.47
  6. Step 6: Final answer
    x = 1,937.33

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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.