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Finding the Fourth Proportional to 2,764.53, 3,814.97 and 1,585.58

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Solution

The fourth proportional to 2,764.53, 3,814.97 and 1,585.58 is: 2,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.53 : 3,814.97 = 1,585.58 : x
  2. Step 2: Convert to fraction form
    2,764.53/3,814.97 = 1,585.58/x
  3. Step 3: Cross multiply
    2,764.53x = 3,814.97 × 1,585.58
  4. Step 4: Simplify right side
    2,764.53x = 6,048,913.13
  5. Step 5: Solve for x
    x = 6,048,913.13/2,764.53
  6. Step 6: Final answer
    x = 2,188.04

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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.