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Finding the Fourth Proportional to 1,512.84, 2,263.14 and 1,122.60

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Solution

The fourth proportional to 1,512.84, 2,263.14 and 1,122.60 is: 1,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.84 : 2,263.14 = 1,122.60 : x
  2. Step 2: Convert to fraction form
    1,512.84/2,263.14 = 1,122.60/x
  3. Step 3: Cross multiply
    1,512.84x = 2,263.14 × 1,122.60
  4. Step 4: Simplify right side
    1,512.84x = 2,540,600.96
  5. Step 5: Solve for x
    x = 2,540,600.96/1,512.84
  6. Step 6: Final answer
    x = 1,679.36

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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.