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Finding the Fourth Proportional to 2,271.74, 3,409.19 and 885.09

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Solution

The fourth proportional to 2,271.74, 3,409.19 and 885.09 is: 1,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.74 : 3,409.19 = 885.09 : x
  2. Step 2: Convert to fraction form
    2,271.74/3,409.19 = 885.09/x
  3. Step 3: Cross multiply
    2,271.74x = 3,409.19 × 885.09
  4. Step 4: Simplify right side
    2,271.74x = 3,017,435.55
  5. Step 5: Solve for x
    x = 3,017,435.55/2,271.74
  6. Step 6: Final answer
    x = 1,328.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.