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Finding the Fourth Proportional to 3,290.85, 4,541.47 and 1,893.60

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Solution

The fourth proportional to 3,290.85, 4,541.47 and 1,893.60 is: 2,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.85 : 4,541.47 = 1,893.60 : x
  2. Step 2: Convert to fraction form
    3,290.85/4,541.47 = 1,893.60/x
  3. Step 3: Cross multiply
    3,290.85x = 4,541.47 × 1,893.60
  4. Step 4: Simplify right side
    3,290.85x = 8,599,727.59
  5. Step 5: Solve for x
    x = 8,599,727.59/3,290.85
  6. Step 6: Final answer
    x = 2,613.22

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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.