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Finding the Fourth Proportional to 2,610.78, 3,607.80 and 1,980.18

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Solution

The fourth proportional to 2,610.78, 3,607.80 and 1,980.18 is: 2,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.78 : 3,607.80 = 1,980.18 : x
  2. Step 2: Convert to fraction form
    2,610.78/3,607.80 = 1,980.18/x
  3. Step 3: Cross multiply
    2,610.78x = 3,607.80 × 1,980.18
  4. Step 4: Simplify right side
    2,610.78x = 7,144,093.40
  5. Step 5: Solve for x
    x = 7,144,093.40/2,610.78
  6. Step 6: Final answer
    x = 2,736.38

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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.