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Finding the Fourth Proportional to 2,270.37, 3,402.68 and 882.39

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Solution

The fourth proportional to 2,270.37, 3,402.68 and 882.39 is: 1,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.37 : 3,402.68 = 882.39 : x
  2. Step 2: Convert to fraction form
    2,270.37/3,402.68 = 882.39/x
  3. Step 3: Cross multiply
    2,270.37x = 3,402.68 × 882.39
  4. Step 4: Simplify right side
    2,270.37x = 3,002,486.39
  5. Step 5: Solve for x
    x = 3,002,486.39/2,270.37
  6. Step 6: Final answer
    x = 1,322.47

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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.