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Finding the Fourth Proportional to 2,240.06, 3,357.11 and 1,007.24

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Solution

The fourth proportional to 2,240.06, 3,357.11 and 1,007.24 is: 1,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.06 : 3,357.11 = 1,007.24 : x
  2. Step 2: Convert to fraction form
    2,240.06/3,357.11 = 1,007.24/x
  3. Step 3: Cross multiply
    2,240.06x = 3,357.11 × 1,007.24
  4. Step 4: Simplify right side
    2,240.06x = 3,381,401.21
  5. Step 5: Solve for x
    x = 3,381,401.21/2,240.06
  6. Step 6: Final answer
    x = 1,509.52

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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.