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Finding the Fourth Proportional to 2,429.29, 3,644.06 and 785.97

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Solution

The fourth proportional to 2,429.29, 3,644.06 and 785.97 is: 1,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.29 : 3,644.06 = 785.97 : x
  2. Step 2: Convert to fraction form
    2,429.29/3,644.06 = 785.97/x
  3. Step 3: Cross multiply
    2,429.29x = 3,644.06 × 785.97
  4. Step 4: Simplify right side
    2,429.29x = 2,864,114.49
  5. Step 5: Solve for x
    x = 2,864,114.49/2,429.29
  6. Step 6: Final answer
    x = 1,178.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.