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Finding the Fourth Proportional to 2,896.90, 4,345.81 and 1,047.83

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Solution

The fourth proportional to 2,896.90, 4,345.81 and 1,047.83 is: 1,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.90 : 4,345.81 = 1,047.83 : x
  2. Step 2: Convert to fraction form
    2,896.90/4,345.81 = 1,047.83/x
  3. Step 3: Cross multiply
    2,896.90x = 4,345.81 × 1,047.83
  4. Step 4: Simplify right side
    2,896.90x = 4,553,645.74
  5. Step 5: Solve for x
    x = 4,553,645.74/2,896.90
  6. Step 6: Final answer
    x = 1,571.90

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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.