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Finding the Fourth Proportional to 2,764.43, 3,814.95 and 1,505.52

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Solution

The fourth proportional to 2,764.43, 3,814.95 and 1,505.52 is: 2,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.43 : 3,814.95 = 1,505.52 : x
  2. Step 2: Convert to fraction form
    2,764.43/3,814.95 = 1,505.52/x
  3. Step 3: Cross multiply
    2,764.43x = 3,814.95 × 1,505.52
  4. Step 4: Simplify right side
    2,764.43x = 5,743,483.52
  5. Step 5: Solve for x
    x = 5,743,483.52/2,764.43
  6. Step 6: Final answer
    x = 2,077.64

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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.