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Finding the Fourth Proportional to 2,764.01, 3,814.97 and 2,483.75

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Solution

The fourth proportional to 2,764.01, 3,814.97 and 2,483.75 is: 3,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.01 : 3,814.97 = 2,483.75 : x
  2. Step 2: Convert to fraction form
    2,764.01/3,814.97 = 2,483.75/x
  3. Step 3: Cross multiply
    2,764.01x = 3,814.97 × 2,483.75
  4. Step 4: Simplify right side
    2,764.01x = 9,475,428.86
  5. Step 5: Solve for x
    x = 9,475,428.86/2,764.01
  6. Step 6: Final answer
    x = 3,428.14

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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.