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Finding the Fourth Proportional to 2,896.39, 4,345.98 and 2,008.29

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Solution

The fourth proportional to 2,896.39, 4,345.98 and 2,008.29 is: 3,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.39 : 4,345.98 = 2,008.29 : x
  2. Step 2: Convert to fraction form
    2,896.39/4,345.98 = 2,008.29/x
  3. Step 3: Cross multiply
    2,896.39x = 4,345.98 × 2,008.29
  4. Step 4: Simplify right side
    2,896.39x = 8,727,988.17
  5. Step 5: Solve for x
    x = 8,727,988.17/2,896.39
  6. Step 6: Final answer
    x = 3,013.40

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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.