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Finding the Fourth Proportional to 2,128.89, 2,937.84 and 1,197.39

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Solution

The fourth proportional to 2,128.89, 2,937.84 and 1,197.39 is: 1,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.89 : 2,937.84 = 1,197.39 : x
  2. Step 2: Convert to fraction form
    2,128.89/2,937.84 = 1,197.39/x
  3. Step 3: Cross multiply
    2,128.89x = 2,937.84 × 1,197.39
  4. Step 4: Simplify right side
    2,128.89x = 3,517,740.24
  5. Step 5: Solve for x
    x = 3,517,740.24/2,128.89
  6. Step 6: Final answer
    x = 1,652.38

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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.