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Finding the Fourth Proportional to 2,122.44, 2,929.02 and 1,283.16

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Solution

The fourth proportional to 2,122.44, 2,929.02 and 1,283.16 is: 1,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.44 : 2,929.02 = 1,283.16 : x
  2. Step 2: Convert to fraction form
    2,122.44/2,929.02 = 1,283.16/x
  3. Step 3: Cross multiply
    2,122.44x = 2,929.02 × 1,283.16
  4. Step 4: Simplify right side
    2,122.44x = 3,758,401.30
  5. Step 5: Solve for x
    x = 3,758,401.30/2,122.44
  6. Step 6: Final answer
    x = 1,770.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.