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Finding the Fourth Proportional to 1,902.94, 2,854.77 and 876.94

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Solution

The fourth proportional to 1,902.94, 2,854.77 and 876.94 is: 1,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.94 : 2,854.77 = 876.94 : x
  2. Step 2: Convert to fraction form
    1,902.94/2,854.77 = 876.94/x
  3. Step 3: Cross multiply
    1,902.94x = 2,854.77 × 876.94
  4. Step 4: Simplify right side
    1,902.94x = 2,503,451.58
  5. Step 5: Solve for x
    x = 2,503,451.58/1,902.94
  6. Step 6: Final answer
    x = 1,315.57

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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.