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Finding the Fourth Proportional to 3,222.44, 4,833.94 and 913.94

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Solution

The fourth proportional to 3,222.44, 4,833.94 and 913.94 is: 1,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.44 : 4,833.94 = 913.94 : x
  2. Step 2: Convert to fraction form
    3,222.44/4,833.94 = 913.94/x
  3. Step 3: Cross multiply
    3,222.44x = 4,833.94 × 913.94
  4. Step 4: Simplify right side
    3,222.44x = 4,417,931.12
  5. Step 5: Solve for x
    x = 4,417,931.12/3,222.44
  6. Step 6: Final answer
    x = 1,370.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.