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Finding the Fourth Proportional to 2,269.23, 3,403.97 and 882.10

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Solution

The fourth proportional to 2,269.23, 3,403.97 and 882.10 is: 1,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.23 : 3,403.97 = 882.10 : x
  2. Step 2: Convert to fraction form
    2,269.23/3,403.97 = 882.10/x
  3. Step 3: Cross multiply
    2,269.23x = 3,403.97 × 882.10
  4. Step 4: Simplify right side
    2,269.23x = 3,002,641.94
  5. Step 5: Solve for x
    x = 3,002,641.94/2,269.23
  6. Step 6: Final answer
    x = 1,323.20

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1.5x scale

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.