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Finding the Fourth Proportional to 2,033.68, 2,804.52 and 1,814.80

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Solution

The fourth proportional to 2,033.68, 2,804.52 and 1,814.80 is: 2,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.68 : 2,804.52 = 1,814.80 : x
  2. Step 2: Convert to fraction form
    2,033.68/2,804.52 = 1,814.80/x
  3. Step 3: Cross multiply
    2,033.68x = 2,804.52 × 1,814.80
  4. Step 4: Simplify right side
    2,033.68x = 5,089,642.90
  5. Step 5: Solve for x
    x = 5,089,642.90/2,033.68
  6. Step 6: Final answer
    x = 2,502.68

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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.