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Finding the Fourth Proportional to 2,203.19, 3,306.30 and 904.66

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Solution

The fourth proportional to 2,203.19, 3,306.30 and 904.66 is: 1,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.19 : 3,306.30 = 904.66 : x
  2. Step 2: Convert to fraction form
    2,203.19/3,306.30 = 904.66/x
  3. Step 3: Cross multiply
    2,203.19x = 3,306.30 × 904.66
  4. Step 4: Simplify right side
    2,203.19x = 2,991,077.36
  5. Step 5: Solve for x
    x = 2,991,077.36/2,203.19
  6. Step 6: Final answer
    x = 1,357.61

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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.