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Finding the Fourth Proportional to 1,221.58, 1,831.01 and 1,074.87

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Solution

The fourth proportional to 1,221.58, 1,831.01 and 1,074.87 is: 1,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.58 : 1,831.01 = 1,074.87 : x
  2. Step 2: Convert to fraction form
    1,221.58/1,831.01 = 1,074.87/x
  3. Step 3: Cross multiply
    1,221.58x = 1,831.01 × 1,074.87
  4. Step 4: Simplify right side
    1,221.58x = 1,968,092.34
  5. Step 5: Solve for x
    x = 1,968,092.34/1,221.58
  6. Step 6: Final answer
    x = 1,611.10

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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.