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Finding the Fourth Proportional to 2,831.13, 3,903.84 and 1,935

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Solution

The fourth proportional to 2,831.13, 3,903.84 and 1,935 is: 2,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.13 : 3,903.84 = 1,935 : x
  2. Step 2: Convert to fraction form
    2,831.13/3,903.84 = 1,935/x
  3. Step 3: Cross multiply
    2,831.13x = 3,903.84 × 1,935
  4. Step 4: Simplify right side
    2,831.13x = 7,553,930.40
  5. Step 5: Solve for x
    x = 7,553,930.40/2,831.13
  6. Step 6: Final answer
    x = 2,668.17

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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.