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Finding the Fourth Proportional to 2,127.46, 2,935.46 and 1,243.09

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Solution

The fourth proportional to 2,127.46, 2,935.46 and 1,243.09 is: 1,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.46 : 2,935.46 = 1,243.09 : x
  2. Step 2: Convert to fraction form
    2,127.46/2,935.46 = 1,243.09/x
  3. Step 3: Cross multiply
    2,127.46x = 2,935.46 × 1,243.09
  4. Step 4: Simplify right side
    2,127.46x = 3,649,020.08
  5. Step 5: Solve for x
    x = 3,649,020.08/2,127.46
  6. Step 6: Final answer
    x = 1,715.20

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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.