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Finding the Fourth Proportional to 2,497.24, 3,746.54 and 2,225.24

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Solution

The fourth proportional to 2,497.24, 3,746.54 and 2,225.24 is: 3,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.24 : 3,746.54 = 2,225.24 : x
  2. Step 2: Convert to fraction form
    2,497.24/3,746.54 = 2,225.24/x
  3. Step 3: Cross multiply
    2,497.24x = 3,746.54 × 2,225.24
  4. Step 4: Simplify right side
    2,497.24x = 8,336,950.67
  5. Step 5: Solve for x
    x = 8,336,950.67/2,497.24
  6. Step 6: Final answer
    x = 3,338.47

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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.