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Finding the Fourth Proportional to 3,212.19, 4,818.29 and 903.69

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Solution

The fourth proportional to 3,212.19, 4,818.29 and 903.69 is: 1,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.19 : 4,818.29 = 903.69 : x
  2. Step 2: Convert to fraction form
    3,212.19/4,818.29 = 903.69/x
  3. Step 3: Cross multiply
    3,212.19x = 4,818.29 × 903.69
  4. Step 4: Simplify right side
    3,212.19x = 4,354,235.97
  5. Step 5: Solve for x
    x = 4,354,235.97/3,212.19
  6. Step 6: Final answer
    x = 1,355.54

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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.