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Finding the Fourth Proportional to 1,611.49, 2,416.52 and 831.93

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Solution

The fourth proportional to 1,611.49, 2,416.52 and 831.93 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.49 : 2,416.52 = 831.93 : x
  2. Step 2: Convert to fraction form
    1,611.49/2,416.52 = 831.93/x
  3. Step 3: Cross multiply
    1,611.49x = 2,416.52 × 831.93
  4. Step 4: Simplify right side
    1,611.49x = 2,010,359.24
  5. Step 5: Solve for x
    x = 2,010,359.24/1,611.49
  6. Step 6: Final answer
    x = 1,247.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.