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Finding the Fourth Proportional to 1,893.85, 2,613.56 and 1,147.66

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Solution

The fourth proportional to 1,893.85, 2,613.56 and 1,147.66 is: 1,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.85 : 2,613.56 = 1,147.66 : x
  2. Step 2: Convert to fraction form
    1,893.85/2,613.56 = 1,147.66/x
  3. Step 3: Cross multiply
    1,893.85x = 2,613.56 × 1,147.66
  4. Step 4: Simplify right side
    1,893.85x = 2,999,478.27
  5. Step 5: Solve for x
    x = 2,999,478.27/1,893.85
  6. Step 6: Final answer
    x = 1,583.80

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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.