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Finding the Fourth Proportional to 2,242.20, 3,093.48 and 1,390.80

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Solution

The fourth proportional to 2,242.20, 3,093.48 and 1,390.80 is: 1,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.20 : 3,093.48 = 1,390.80 : x
  2. Step 2: Convert to fraction form
    2,242.20/3,093.48 = 1,390.80/x
  3. Step 3: Cross multiply
    2,242.20x = 3,093.48 × 1,390.80
  4. Step 4: Simplify right side
    2,242.20x = 4,302,411.98
  5. Step 5: Solve for x
    x = 4,302,411.98/2,242.20
  6. Step 6: Final answer
    x = 1,918.84

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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.