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Finding the Fourth Proportional to 2,179.13, 3,005.13 and 1,433.72

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Solution

The fourth proportional to 2,179.13, 3,005.13 and 1,433.72 is: 1,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.13 : 3,005.13 = 1,433.72 : x
  2. Step 2: Convert to fraction form
    2,179.13/3,005.13 = 1,433.72/x
  3. Step 3: Cross multiply
    2,179.13x = 3,005.13 × 1,433.72
  4. Step 4: Simplify right side
    2,179.13x = 4,308,514.98
  5. Step 5: Solve for x
    x = 4,308,514.98/2,179.13
  6. Step 6: Final answer
    x = 1,977.17

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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.