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Finding the Fourth Proportional to 2,893.08, 4,333.14 and 1,429.02

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Solution

The fourth proportional to 2,893.08, 4,333.14 and 1,429.02 is: 2,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.08 : 4,333.14 = 1,429.02 : x
  2. Step 2: Convert to fraction form
    2,893.08/4,333.14 = 1,429.02/x
  3. Step 3: Cross multiply
    2,893.08x = 4,333.14 × 1,429.02
  4. Step 4: Simplify right side
    2,893.08x = 6,192,143.72
  5. Step 5: Solve for x
    x = 6,192,143.72/2,893.08
  6. Step 6: Final answer
    x = 2,140.33

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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.