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Finding the Fourth Proportional to 3,135.06, 4,701.93 and 943.14

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Solution

The fourth proportional to 3,135.06, 4,701.93 and 943.14 is: 1,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.06 : 4,701.93 = 943.14 : x
  2. Step 2: Convert to fraction form
    3,135.06/4,701.93 = 943.14/x
  3. Step 3: Cross multiply
    3,135.06x = 4,701.93 × 943.14
  4. Step 4: Simplify right side
    3,135.06x = 4,434,578.26
  5. Step 5: Solve for x
    x = 4,434,578.26/3,135.06
  6. Step 6: Final answer
    x = 1,414.51

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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.