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Finding the Fourth Proportional to 2,200.23, 3,300.63 and 738.90

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Solution

The fourth proportional to 2,200.23, 3,300.63 and 738.90 is: 1,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.23 : 3,300.63 = 738.90 : x
  2. Step 2: Convert to fraction form
    2,200.23/3,300.63 = 738.90/x
  3. Step 3: Cross multiply
    2,200.23x = 3,300.63 × 738.90
  4. Step 4: Simplify right side
    2,200.23x = 2,438,835.51
  5. Step 5: Solve for x
    x = 2,438,835.51/2,200.23
  6. Step 6: Final answer
    x = 1,108.45

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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.