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Finding the Fourth Proportional to 2,269.08, 3,404.48 and 882.50

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Solution

The fourth proportional to 2,269.08, 3,404.48 and 882.50 is: 1,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.08 : 3,404.48 = 882.50 : x
  2. Step 2: Convert to fraction form
    2,269.08/3,404.48 = 882.50/x
  3. Step 3: Cross multiply
    2,269.08x = 3,404.48 × 882.50
  4. Step 4: Simplify right side
    2,269.08x = 3,004,432.17
  5. Step 5: Solve for x
    x = 3,004,432.17/2,269.08
  6. Step 6: Final answer
    x = 1,324.08

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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.