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Finding the Fourth Proportional to 2,484.71, 3,722.08 and 1,496.97

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Solution

The fourth proportional to 2,484.71, 3,722.08 and 1,496.97 is: 2,242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.71 : 3,722.08 = 1,496.97 : x
  2. Step 2: Convert to fraction form
    2,484.71/3,722.08 = 1,496.97/x
  3. Step 3: Cross multiply
    2,484.71x = 3,722.08 × 1,496.97
  4. Step 4: Simplify right side
    2,484.71x = 5,571,846.78
  5. Step 5: Solve for x
    x = 5,571,846.78/2,484.71
  6. Step 6: Final answer
    x = 2,242.45

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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.