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Finding the Fourth Proportional to 1,921.14, 2,877.93 and 1,786.14

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Solution

The fourth proportional to 1,921.14, 2,877.93 and 1,786.14 is: 2,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.14 : 2,877.93 = 1,786.14 : x
  2. Step 2: Convert to fraction form
    1,921.14/2,877.93 = 1,786.14/x
  3. Step 3: Cross multiply
    1,921.14x = 2,877.93 × 1,786.14
  4. Step 4: Simplify right side
    1,921.14x = 5,140,385.89
  5. Step 5: Solve for x
    x = 5,140,385.89/1,921.14
  6. Step 6: Final answer
    x = 2,675.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.