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Finding the Fourth Proportional to 2,156.00, 3,233.32 and 1,429.43

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Solution

The fourth proportional to 2,156.00, 3,233.32 and 1,429.43 is: 2,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.00 : 3,233.32 = 1,429.43 : x
  2. Step 2: Convert to fraction form
    2,156.00/3,233.32 = 1,429.43/x
  3. Step 3: Cross multiply
    2,156.00x = 3,233.32 × 1,429.43
  4. Step 4: Simplify right side
    2,156.00x = 4,621,798.31
  5. Step 5: Solve for x
    x = 4,621,798.31/2,156.00
  6. Step 6: Final answer
    x = 2,143.69

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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.