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Finding the Fourth Proportional to 2,244, 3,096.13 and 1,497.45

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Solution

The fourth proportional to 2,244, 3,096.13 and 1,497.45 is: 2,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244 : 3,096.13 = 1,497.45 : x
  2. Step 2: Convert to fraction form
    2,244/3,096.13 = 1,497.45/x
  3. Step 3: Cross multiply
    2,244x = 3,096.13 × 1,497.45
  4. Step 4: Simplify right side
    2,244x = 4,636,299.87
  5. Step 5: Solve for x
    x = 4,636,299.87/2,244
  6. Step 6: Final answer
    x = 2,066.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.