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Finding the Fourth Proportional to 1,863.37, 2,570.79 and 1,304.47

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Solution

The fourth proportional to 1,863.37, 2,570.79 and 1,304.47 is: 1,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.37 : 2,570.79 = 1,304.47 : x
  2. Step 2: Convert to fraction form
    1,863.37/2,570.79 = 1,304.47/x
  3. Step 3: Cross multiply
    1,863.37x = 2,570.79 × 1,304.47
  4. Step 4: Simplify right side
    1,863.37x = 3,353,518.43
  5. Step 5: Solve for x
    x = 3,353,518.43/1,863.37
  6. Step 6: Final answer
    x = 1,799.71

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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.