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Finding the Fourth Proportional to 2,650.31, 3,656.49 and 1,655.22

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Solution

The fourth proportional to 2,650.31, 3,656.49 and 1,655.22 is: 2,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.31 : 3,656.49 = 1,655.22 : x
  2. Step 2: Convert to fraction form
    2,650.31/3,656.49 = 1,655.22/x
  3. Step 3: Cross multiply
    2,650.31x = 3,656.49 × 1,655.22
  4. Step 4: Simplify right side
    2,650.31x = 6,052,295.38
  5. Step 5: Solve for x
    x = 6,052,295.38/2,650.31
  6. Step 6: Final answer
    x = 2,283.62

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1.5x scale

Why These Related Problems?

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