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Finding the Fourth Proportional to 2,179.98, 3,006.32 and 1,471.95

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Solution

The fourth proportional to 2,179.98, 3,006.32 and 1,471.95 is: 2,029.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.98 : 3,006.32 = 1,471.95 : x
  2. Step 2: Convert to fraction form
    2,179.98/3,006.32 = 1,471.95/x
  3. Step 3: Cross multiply
    2,179.98x = 3,006.32 × 1,471.95
  4. Step 4: Simplify right side
    2,179.98x = 4,425,145.36
  5. Step 5: Solve for x
    x = 4,425,145.36/2,179.98
  6. Step 6: Final answer
    x = 2,029.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.