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Finding the Fourth Proportional to 1,894.54, 2,613.36 and 1,305.04

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Solution

The fourth proportional to 1,894.54, 2,613.36 and 1,305.04 is: 1,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.54 : 2,613.36 = 1,305.04 : x
  2. Step 2: Convert to fraction form
    1,894.54/2,613.36 = 1,305.04/x
  3. Step 3: Cross multiply
    1,894.54x = 2,613.36 × 1,305.04
  4. Step 4: Simplify right side
    1,894.54x = 3,410,539.33
  5. Step 5: Solve for x
    x = 3,410,539.33/1,894.54
  6. Step 6: Final answer
    x = 1,800.19

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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.