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Finding the Fourth Proportional to 2,271.78, 3,407.74 and 885.43

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Solution

The fourth proportional to 2,271.78, 3,407.74 and 885.43 is: 1,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.78 : 3,407.74 = 885.43 : x
  2. Step 2: Convert to fraction form
    2,271.78/3,407.74 = 885.43/x
  3. Step 3: Cross multiply
    2,271.78x = 3,407.74 × 885.43
  4. Step 4: Simplify right side
    2,271.78x = 3,017,317.27
  5. Step 5: Solve for x
    x = 3,017,317.27/2,271.78
  6. Step 6: Final answer
    x = 1,328.17

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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.