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Finding the Fourth Proportional to 1,894.10, 2,613.90 and 1,147.94

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Solution

The fourth proportional to 1,894.10, 2,613.90 and 1,147.94 is: 1,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.10 : 2,613.90 = 1,147.94 : x
  2. Step 2: Convert to fraction form
    1,894.10/2,613.90 = 1,147.94/x
  3. Step 3: Cross multiply
    1,894.10x = 2,613.90 × 1,147.94
  4. Step 4: Simplify right side
    1,894.10x = 3,000,600.37
  5. Step 5: Solve for x
    x = 3,000,600.37/1,894.10
  6. Step 6: Final answer
    x = 1,584.18

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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.