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Finding the Fourth Proportional to 2,152.26, 2,990.48 and 2,129.40

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Solution

The fourth proportional to 2,152.26, 2,990.48 and 2,129.40 is: 2,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.26 : 2,990.48 = 2,129.40 : x
  2. Step 2: Convert to fraction form
    2,152.26/2,990.48 = 2,129.40/x
  3. Step 3: Cross multiply
    2,152.26x = 2,990.48 × 2,129.40
  4. Step 4: Simplify right side
    2,152.26x = 6,367,917.47
  5. Step 5: Solve for x
    x = 6,367,917.47/2,152.26
  6. Step 6: Final answer
    x = 2,958.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.