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Finding the Fourth Proportional to 1,471.87, 2,218 and 1,333.47

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Solution

The fourth proportional to 1,471.87, 2,218 and 1,333.47 is: 2,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.87 : 2,218 = 1,333.47 : x
  2. Step 2: Convert to fraction form
    1,471.87/2,218 = 1,333.47/x
  3. Step 3: Cross multiply
    1,471.87x = 2,218 × 1,333.47
  4. Step 4: Simplify right side
    1,471.87x = 2,957,625.37
  5. Step 5: Solve for x
    x = 2,957,625.37/1,471.87
  6. Step 6: Final answer
    x = 2,009.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.