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Finding the Fourth Proportional to 2,202.23, 3,303.48 and 740.99

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Solution

The fourth proportional to 2,202.23, 3,303.48 and 740.99 is: 1,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.23 : 3,303.48 = 740.99 : x
  2. Step 2: Convert to fraction form
    2,202.23/3,303.48 = 740.99/x
  3. Step 3: Cross multiply
    2,202.23x = 3,303.48 × 740.99
  4. Step 4: Simplify right side
    2,202.23x = 2,447,845.65
  5. Step 5: Solve for x
    x = 2,447,845.65/2,202.23
  6. Step 6: Final answer
    x = 1,111.53

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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.