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Finding the Fourth Proportional to 2,678.83, 3,699.80 and 2,262.69

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Solution

The fourth proportional to 2,678.83, 3,699.80 and 2,262.69 is: 3,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.83 : 3,699.80 = 2,262.69 : x
  2. Step 2: Convert to fraction form
    2,678.83/3,699.80 = 2,262.69/x
  3. Step 3: Cross multiply
    2,678.83x = 3,699.80 × 2,262.69
  4. Step 4: Simplify right side
    2,678.83x = 8,371,500.46
  5. Step 5: Solve for x
    x = 8,371,500.46/2,678.83
  6. Step 6: Final answer
    x = 3,125.06

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