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Finding the Fourth Proportional to 2,764.68, 3,814.74 and 1,585.50

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Solution

The fourth proportional to 2,764.68, 3,814.74 and 1,585.50 is: 2,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.68 : 3,814.74 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    2,764.68/3,814.74 = 1,585.50/x
  3. Step 3: Cross multiply
    2,764.68x = 3,814.74 × 1,585.50
  4. Step 4: Simplify right side
    2,764.68x = 6,048,270.27
  5. Step 5: Solve for x
    x = 6,048,270.27/2,764.68
  6. Step 6: Final answer
    x = 2,187.69

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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.