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Finding the Fourth Proportional to 2,896.96, 4,345.17 and 949.18

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Solution

The fourth proportional to 2,896.96, 4,345.17 and 949.18 is: 1,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.96 : 4,345.17 = 949.18 : x
  2. Step 2: Convert to fraction form
    2,896.96/4,345.17 = 949.18/x
  3. Step 3: Cross multiply
    2,896.96x = 4,345.17 × 949.18
  4. Step 4: Simplify right side
    2,896.96x = 4,124,348.46
  5. Step 5: Solve for x
    x = 4,124,348.46/2,896.96
  6. Step 6: Final answer
    x = 1,423.68

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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.