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Finding the Fourth Proportional to 2,148.78, 2,965.21 and 1,204.57

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Solution

The fourth proportional to 2,148.78, 2,965.21 and 1,204.57 is: 1,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.78 : 2,965.21 = 1,204.57 : x
  2. Step 2: Convert to fraction form
    2,148.78/2,965.21 = 1,204.57/x
  3. Step 3: Cross multiply
    2,148.78x = 2,965.21 × 1,204.57
  4. Step 4: Simplify right side
    2,148.78x = 3,571,803.70
  5. Step 5: Solve for x
    x = 3,571,803.70/2,148.78
  6. Step 6: Final answer
    x = 1,662.25

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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.