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Finding the Fourth Proportional to 2,275.26, 3,409.19 and 887.02

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Solution

The fourth proportional to 2,275.26, 3,409.19 and 887.02 is: 1,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.26 : 3,409.19 = 887.02 : x
  2. Step 2: Convert to fraction form
    2,275.26/3,409.19 = 887.02/x
  3. Step 3: Cross multiply
    2,275.26x = 3,409.19 × 887.02
  4. Step 4: Simplify right side
    2,275.26x = 3,024,015.28
  5. Step 5: Solve for x
    x = 3,024,015.28/2,275.26
  6. Step 6: Final answer
    x = 1,329.09

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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.