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Finding the Fourth Proportional to 1,961.76, 2,931.14 and 1,893.72

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Solution

The fourth proportional to 1,961.76, 2,931.14 and 1,893.72 is: 2,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.76 : 2,931.14 = 1,893.72 : x
  2. Step 2: Convert to fraction form
    1,961.76/2,931.14 = 1,893.72/x
  3. Step 3: Cross multiply
    1,961.76x = 2,931.14 × 1,893.72
  4. Step 4: Simplify right side
    1,961.76x = 5,550,758.44
  5. Step 5: Solve for x
    x = 5,550,758.44/1,961.76
  6. Step 6: Final answer
    x = 2,829.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.