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Finding the Fourth Proportional to 1,612.75, 2,417.32 and 831.66

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Solution

The fourth proportional to 1,612.75, 2,417.32 and 831.66 is: 1,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.75 : 2,417.32 = 831.66 : x
  2. Step 2: Convert to fraction form
    1,612.75/2,417.32 = 831.66/x
  3. Step 3: Cross multiply
    1,612.75x = 2,417.32 × 831.66
  4. Step 4: Simplify right side
    1,612.75x = 2,010,389.39
  5. Step 5: Solve for x
    x = 2,010,389.39/1,612.75
  6. Step 6: Final answer
    x = 1,246.56

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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.