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Finding the Fourth Proportional to 2,178.91, 3,006.53 and 1,434.65

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Solution

The fourth proportional to 2,178.91, 3,006.53 and 1,434.65 is: 1,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.91 : 3,006.53 = 1,434.65 : x
  2. Step 2: Convert to fraction form
    2,178.91/3,006.53 = 1,434.65/x
  3. Step 3: Cross multiply
    2,178.91x = 3,006.53 × 1,434.65
  4. Step 4: Simplify right side
    2,178.91x = 4,313,318.26
  5. Step 5: Solve for x
    x = 4,313,318.26/2,178.91
  6. Step 6: Final answer
    x = 1,979.58

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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.