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Finding the Fourth Proportional to 2,313.24, 3,468.24 and 1,014

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Solution

The fourth proportional to 2,313.24, 3,468.24 and 1,014 is: 1,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.24 : 3,468.24 = 1,014 : x
  2. Step 2: Convert to fraction form
    2,313.24/3,468.24 = 1,014/x
  3. Step 3: Cross multiply
    2,313.24x = 3,468.24 × 1,014
  4. Step 4: Simplify right side
    2,313.24x = 3,516,795.36
  5. Step 5: Solve for x
    x = 3,516,795.36/2,313.24
  6. Step 6: Final answer
    x = 1,520.29

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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.