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Finding the Fourth Proportional to 2,610.71, 3,602.85 and 1,563.38

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Solution

The fourth proportional to 2,610.71, 3,602.85 and 1,563.38 is: 2,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.71 : 3,602.85 = 1,563.38 : x
  2. Step 2: Convert to fraction form
    2,610.71/3,602.85 = 1,563.38/x
  3. Step 3: Cross multiply
    2,610.71x = 3,602.85 × 1,563.38
  4. Step 4: Simplify right side
    2,610.71x = 5,632,623.63
  5. Step 5: Solve for x
    x = 5,632,623.63/2,610.71
  6. Step 6: Final answer
    x = 2,157.51

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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.