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Finding the Fourth Proportional to 2,602.63, 3,921.50 and 2,150.52

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Solution

The fourth proportional to 2,602.63, 3,921.50 and 2,150.52 is: 3,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.63 : 3,921.50 = 2,150.52 : x
  2. Step 2: Convert to fraction form
    2,602.63/3,921.50 = 2,150.52/x
  3. Step 3: Cross multiply
    2,602.63x = 3,921.50 × 2,150.52
  4. Step 4: Simplify right side
    2,602.63x = 8,433,264.18
  5. Step 5: Solve for x
    x = 8,433,264.18/2,602.63
  6. Step 6: Final answer
    x = 3,240.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.