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Finding the Fourth Proportional to 2,242.21, 3,363.27 and 703.21

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Solution

The fourth proportional to 2,242.21, 3,363.27 and 703.21 is: 1,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.21 : 3,363.27 = 703.21 : x
  2. Step 2: Convert to fraction form
    2,242.21/3,363.27 = 703.21/x
  3. Step 3: Cross multiply
    2,242.21x = 3,363.27 × 703.21
  4. Step 4: Simplify right side
    2,242.21x = 2,365,085.10
  5. Step 5: Solve for x
    x = 2,365,085.10/2,242.21
  6. Step 6: Final answer
    x = 1,054.80

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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.