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Finding the Fourth Proportional to 3,334, 4,600.92 and 1,862

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Solution

The fourth proportional to 3,334, 4,600.92 and 1,862 is: 2,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334 : 4,600.92 = 1,862 : x
  2. Step 2: Convert to fraction form
    3,334/4,600.92 = 1,862/x
  3. Step 3: Cross multiply
    3,334x = 4,600.92 × 1,862
  4. Step 4: Simplify right side
    3,334x = 8,566,913.04
  5. Step 5: Solve for x
    x = 8,566,913.04/3,334
  6. Step 6: Final answer
    x = 2,569.56

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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.