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Finding the Fourth Proportional to 1,498.62, 2,068.14 and 939.36

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Solution

The fourth proportional to 1,498.62, 2,068.14 and 939.36 is: 1,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.62 : 2,068.14 = 939.36 : x
  2. Step 2: Convert to fraction form
    1,498.62/2,068.14 = 939.36/x
  3. Step 3: Cross multiply
    1,498.62x = 2,068.14 × 939.36
  4. Step 4: Simplify right side
    1,498.62x = 1,942,727.99
  5. Step 5: Solve for x
    x = 1,942,727.99/1,498.62
  6. Step 6: Final answer
    x = 1,296.34

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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.