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Finding the Fourth Proportional to 1,895.49, 2,615.22 and 1,297.98

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Solution

The fourth proportional to 1,895.49, 2,615.22 and 1,297.98 is: 1,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.49 : 2,615.22 = 1,297.98 : x
  2. Step 2: Convert to fraction form
    1,895.49/2,615.22 = 1,297.98/x
  3. Step 3: Cross multiply
    1,895.49x = 2,615.22 × 1,297.98
  4. Step 4: Simplify right side
    1,895.49x = 3,394,503.26
  5. Step 5: Solve for x
    x = 3,394,503.26/1,895.49
  6. Step 6: Final answer
    x = 1,790.83

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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.