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Finding the Fourth Proportional to 1,920.01, 2,878.99 and 686.75

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Solution

The fourth proportional to 1,920.01, 2,878.99 and 686.75 is: 1,029.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.01 : 2,878.99 = 686.75 : x
  2. Step 2: Convert to fraction form
    1,920.01/2,878.99 = 686.75/x
  3. Step 3: Cross multiply
    1,920.01x = 2,878.99 × 686.75
  4. Step 4: Simplify right side
    1,920.01x = 1,977,146.38
  5. Step 5: Solve for x
    x = 1,977,146.38/1,920.01
  6. Step 6: Final answer
    x = 1,029.76

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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.