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Finding the Fourth Proportional to 1,895.50, 2,615.79 and 1,067.50

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Solution

The fourth proportional to 1,895.50, 2,615.79 and 1,067.50 is: 1,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.50 : 2,615.79 = 1,067.50 : x
  2. Step 2: Convert to fraction form
    1,895.50/2,615.79 = 1,067.50/x
  3. Step 3: Cross multiply
    1,895.50x = 2,615.79 × 1,067.50
  4. Step 4: Simplify right side
    1,895.50x = 2,792,355.83
  5. Step 5: Solve for x
    x = 2,792,355.83/1,895.50
  6. Step 6: Final answer
    x = 1,473.15

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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.