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Finding the Fourth Proportional to 2,112.68, 3,167.96 and 651.65

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Solution

The fourth proportional to 2,112.68, 3,167.96 and 651.65 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.68 : 3,167.96 = 651.65 : x
  2. Step 2: Convert to fraction form
    2,112.68/3,167.96 = 651.65/x
  3. Step 3: Cross multiply
    2,112.68x = 3,167.96 × 651.65
  4. Step 4: Simplify right side
    2,112.68x = 2,064,382.04
  5. Step 5: Solve for x
    x = 2,064,382.04/2,112.68
  6. Step 6: Final answer
    x = 977.14

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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.