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Finding the Fourth Proportional to 2,262.07, 3,121.54 and 1,240

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Solution

The fourth proportional to 2,262.07, 3,121.54 and 1,240 is: 1,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.07 : 3,121.54 = 1,240 : x
  2. Step 2: Convert to fraction form
    2,262.07/3,121.54 = 1,240/x
  3. Step 3: Cross multiply
    2,262.07x = 3,121.54 × 1,240
  4. Step 4: Simplify right side
    2,262.07x = 3,870,709.60
  5. Step 5: Solve for x
    x = 3,870,709.60/2,262.07
  6. Step 6: Final answer
    x = 1,711.14

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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.