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Finding the Fourth Proportional to 2,846.24, 4,270.12 and 898.48

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Solution

The fourth proportional to 2,846.24, 4,270.12 and 898.48 is: 1,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.24 : 4,270.12 = 898.48 : x
  2. Step 2: Convert to fraction form
    2,846.24/4,270.12 = 898.48/x
  3. Step 3: Cross multiply
    2,846.24x = 4,270.12 × 898.48
  4. Step 4: Simplify right side
    2,846.24x = 3,836,617.42
  5. Step 5: Solve for x
    x = 3,836,617.42/2,846.24
  6. Step 6: Final answer
    x = 1,347.96

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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.