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Finding the Fourth Proportional to 2,134.89, 2,946.12 and 1,203.39

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Solution

The fourth proportional to 2,134.89, 2,946.12 and 1,203.39 is: 1,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.89 : 2,946.12 = 1,203.39 : x
  2. Step 2: Convert to fraction form
    2,134.89/2,946.12 = 1,203.39/x
  3. Step 3: Cross multiply
    2,134.89x = 2,946.12 × 1,203.39
  4. Step 4: Simplify right side
    2,134.89x = 3,545,331.35
  5. Step 5: Solve for x
    x = 3,545,331.35/2,134.89
  6. Step 6: Final answer
    x = 1,660.66

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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.