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Finding the Fourth Proportional to 2,610.90, 3,598.32 and 2,063.46

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Solution

The fourth proportional to 2,610.90, 3,598.32 and 2,063.46 is: 2,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.90 : 3,598.32 = 2,063.46 : x
  2. Step 2: Convert to fraction form
    2,610.90/3,598.32 = 2,063.46/x
  3. Step 3: Cross multiply
    2,610.90x = 3,598.32 × 2,063.46
  4. Step 4: Simplify right side
    2,610.90x = 7,424,990.38
  5. Step 5: Solve for x
    x = 7,424,990.38/2,610.90
  6. Step 6: Final answer
    x = 2,843.84

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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.