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Finding the Fourth Proportional to 2,896.92, 4,345.83 and 948.66

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Solution

The fourth proportional to 2,896.92, 4,345.83 and 948.66 is: 1,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.92 : 4,345.83 = 948.66 : x
  2. Step 2: Convert to fraction form
    2,896.92/4,345.83 = 948.66/x
  3. Step 3: Cross multiply
    2,896.92x = 4,345.83 × 948.66
  4. Step 4: Simplify right side
    2,896.92x = 4,122,715.09
  5. Step 5: Solve for x
    x = 4,122,715.09/2,896.92
  6. Step 6: Final answer
    x = 1,423.14

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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.