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Finding the Fourth Proportional to 2,137.14, 2,951.87 and 1,546.74

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Solution

The fourth proportional to 2,137.14, 2,951.87 and 1,546.74 is: 2,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.14 : 2,951.87 = 1,546.74 : x
  2. Step 2: Convert to fraction form
    2,137.14/2,951.87 = 1,546.74/x
  3. Step 3: Cross multiply
    2,137.14x = 2,951.87 × 1,546.74
  4. Step 4: Simplify right side
    2,137.14x = 4,565,775.40
  5. Step 5: Solve for x
    x = 4,565,775.40/2,137.14
  6. Step 6: Final answer
    x = 2,136.40

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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.