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Finding the Fourth Proportional to 1,391.35, 1,919.61 and 831.93

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Solution

The fourth proportional to 1,391.35, 1,919.61 and 831.93 is: 1,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.35 : 1,919.61 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,391.35/1,919.61 = 831.93/x
  3. Step 3: Cross multiply
    1,391.35x = 1,919.61 × 831.93
  4. Step 4: Simplify right side
    1,391.35x = 1,596,981.15
  5. Step 5: Solve for x
    x = 1,596,981.15/1,391.35
  6. Step 6: Final answer
    x = 1,147.79

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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.