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Finding the Fourth Proportional to 2,129.63, 2,936.99 and 1,382.87

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Solution

The fourth proportional to 2,129.63, 2,936.99 and 1,382.87 is: 1,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.63 : 2,936.99 = 1,382.87 : x
  2. Step 2: Convert to fraction form
    2,129.63/2,936.99 = 1,382.87/x
  3. Step 3: Cross multiply
    2,129.63x = 2,936.99 × 1,382.87
  4. Step 4: Simplify right side
    2,129.63x = 4,061,486.16
  5. Step 5: Solve for x
    x = 4,061,486.16/2,129.63
  6. Step 6: Final answer
    x = 1,907.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.