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Finding the Fourth Proportional to 1,870.11, 2,806.17 and 831.15

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Solution

The fourth proportional to 1,870.11, 2,806.17 and 831.15 is: 1,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.11 : 2,806.17 = 831.15 : x
  2. Step 2: Convert to fraction form
    1,870.11/2,806.17 = 831.15/x
  3. Step 3: Cross multiply
    1,870.11x = 2,806.17 × 831.15
  4. Step 4: Simplify right side
    1,870.11x = 2,332,348.20
  5. Step 5: Solve for x
    x = 2,332,348.20/1,870.11
  6. Step 6: Final answer
    x = 1,247.17

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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.