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Finding the Fourth Proportional to 2,268.21, 3,403.63 and 882.50

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Solution

The fourth proportional to 2,268.21, 3,403.63 and 882.50 is: 1,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.21 : 3,403.63 = 882.50 : x
  2. Step 2: Convert to fraction form
    2,268.21/3,403.63 = 882.50/x
  3. Step 3: Cross multiply
    2,268.21x = 3,403.63 × 882.50
  4. Step 4: Simplify right side
    2,268.21x = 3,003,690.55
  5. Step 5: Solve for x
    x = 3,003,690.55/2,268.21
  6. Step 6: Final answer
    x = 1,324.26

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Why These Related Problems?

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