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Finding the Fourth Proportional to 1,343.87, 1,854.62 and 894.97

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Solution

The fourth proportional to 1,343.87, 1,854.62 and 894.97 is: 1,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.87 : 1,854.62 = 894.97 : x
  2. Step 2: Convert to fraction form
    1,343.87/1,854.62 = 894.97/x
  3. Step 3: Cross multiply
    1,343.87x = 1,854.62 × 894.97
  4. Step 4: Simplify right side
    1,343.87x = 1,659,825.06
  5. Step 5: Solve for x
    x = 1,659,825.06/1,343.87
  6. Step 6: Final answer
    x = 1,235.10

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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.