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Finding the Fourth Proportional to 2,128.08, 2,937.02 and 1,243.90

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Solution

The fourth proportional to 2,128.08, 2,937.02 and 1,243.90 is: 1,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.08 : 2,937.02 = 1,243.90 : x
  2. Step 2: Convert to fraction form
    2,128.08/2,937.02 = 1,243.90/x
  3. Step 3: Cross multiply
    2,128.08x = 2,937.02 × 1,243.90
  4. Step 4: Simplify right side
    2,128.08x = 3,653,359.18
  5. Step 5: Solve for x
    x = 3,653,359.18/2,128.08
  6. Step 6: Final answer
    x = 1,716.74

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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.