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Finding the Fourth Proportional to 1,611.91, 2,416.65 and 831.58

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Solution

The fourth proportional to 1,611.91, 2,416.65 and 831.58 is: 1,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.91 : 2,416.65 = 831.58 : x
  2. Step 2: Convert to fraction form
    1,611.91/2,416.65 = 831.58/x
  3. Step 3: Cross multiply
    1,611.91x = 2,416.65 × 831.58
  4. Step 4: Simplify right side
    1,611.91x = 2,009,633.32
  5. Step 5: Solve for x
    x = 2,009,633.32/1,611.91
  6. Step 6: Final answer
    x = 1,246.74

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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.