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Finding the Fourth Proportional to 2,496.47, 3,737.76 and 1,619.99

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Solution

The fourth proportional to 2,496.47, 3,737.76 and 1,619.99 is: 2,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.47 : 3,737.76 = 1,619.99 : x
  2. Step 2: Convert to fraction form
    2,496.47/3,737.76 = 1,619.99/x
  3. Step 3: Cross multiply
    2,496.47x = 3,737.76 × 1,619.99
  4. Step 4: Simplify right side
    2,496.47x = 6,055,115.13
  5. Step 5: Solve for x
    x = 6,055,115.13/2,496.47
  6. Step 6: Final answer
    x = 2,425.48

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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.