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Finding the Fourth Proportional to 2,124.39, 2,933.35 and 1,496.99

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Solution

The fourth proportional to 2,124.39, 2,933.35 and 1,496.99 is: 2,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.39 : 2,933.35 = 1,496.99 : x
  2. Step 2: Convert to fraction form
    2,124.39/2,933.35 = 1,496.99/x
  3. Step 3: Cross multiply
    2,124.39x = 2,933.35 × 1,496.99
  4. Step 4: Simplify right side
    2,124.39x = 4,391,195.62
  5. Step 5: Solve for x
    x = 4,391,195.62/2,124.39
  6. Step 6: Final answer
    x = 2,067.04

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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.