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Finding the Fourth Proportional to 2,650.70, 3,660.06 and 2,152.55

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Solution

The fourth proportional to 2,650.70, 3,660.06 and 2,152.55 is: 2,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.70 : 3,660.06 = 2,152.55 : x
  2. Step 2: Convert to fraction form
    2,650.70/3,660.06 = 2,152.55/x
  3. Step 3: Cross multiply
    2,650.70x = 3,660.06 × 2,152.55
  4. Step 4: Simplify right side
    2,650.70x = 7,878,462.15
  5. Step 5: Solve for x
    x = 7,878,462.15/2,650.70
  6. Step 6: Final answer
    x = 2,972.22

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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.