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Finding the Fourth Proportional to 2,429.96, 3,643.64 and 786.29

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Solution

The fourth proportional to 2,429.96, 3,643.64 and 786.29 is: 1,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.96 : 3,643.64 = 786.29 : x
  2. Step 2: Convert to fraction form
    2,429.96/3,643.64 = 786.29/x
  3. Step 3: Cross multiply
    2,429.96x = 3,643.64 × 786.29
  4. Step 4: Simplify right side
    2,429.96x = 2,864,935.55
  5. Step 5: Solve for x
    x = 2,864,935.55/2,429.96
  6. Step 6: Final answer
    x = 1,179.01

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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.