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Finding the Fourth Proportional to 2,847.66, 3,929.77 and 1,854.62

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Solution

The fourth proportional to 2,847.66, 3,929.77 and 1,854.62 is: 2,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.66 : 3,929.77 = 1,854.62 : x
  2. Step 2: Convert to fraction form
    2,847.66/3,929.77 = 1,854.62/x
  3. Step 3: Cross multiply
    2,847.66x = 3,929.77 × 1,854.62
  4. Step 4: Simplify right side
    2,847.66x = 7,288,228.06
  5. Step 5: Solve for x
    x = 7,288,228.06/2,847.66
  6. Step 6: Final answer
    x = 2,559.38

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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.