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Finding the Fourth Proportional to 2,272.80, 3,409.26 and 886.08

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Solution

The fourth proportional to 2,272.80, 3,409.26 and 886.08 is: 1,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.80 : 3,409.26 = 886.08 : x
  2. Step 2: Convert to fraction form
    2,272.80/3,409.26 = 886.08/x
  3. Step 3: Cross multiply
    2,272.80x = 3,409.26 × 886.08
  4. Step 4: Simplify right side
    2,272.80x = 3,020,877.10
  5. Step 5: Solve for x
    x = 3,020,877.10/2,272.80
  6. Step 6: Final answer
    x = 1,329.14

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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.