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Finding the Fourth Proportional to 2,893.56, 4,337.08 and 1,433.76

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Solution

The fourth proportional to 2,893.56, 4,337.08 and 1,433.76 is: 2,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.56 : 4,337.08 = 1,433.76 : x
  2. Step 2: Convert to fraction form
    2,893.56/4,337.08 = 1,433.76/x
  3. Step 3: Cross multiply
    2,893.56x = 4,337.08 × 1,433.76
  4. Step 4: Simplify right side
    2,893.56x = 6,218,331.82
  5. Step 5: Solve for x
    x = 6,218,331.82/2,893.56
  6. Step 6: Final answer
    x = 2,149.02

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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.