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Finding the Fourth Proportional to 2,960.74, 4,437.01 and 1,863.14

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Solution

The fourth proportional to 2,960.74, 4,437.01 and 1,863.14 is: 2,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.74 : 4,437.01 = 1,863.14 : x
  2. Step 2: Convert to fraction form
    2,960.74/4,437.01 = 1,863.14/x
  3. Step 3: Cross multiply
    2,960.74x = 4,437.01 × 1,863.14
  4. Step 4: Simplify right side
    2,960.74x = 8,266,770.81
  5. Step 5: Solve for x
    x = 8,266,770.81/2,960.74
  6. Step 6: Final answer
    x = 2,792.13

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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.