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Finding the Fourth Proportional to 2,270.48, 3,404.85 and 883.64

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Solution

The fourth proportional to 2,270.48, 3,404.85 and 883.64 is: 1,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.48 : 3,404.85 = 883.64 : x
  2. Step 2: Convert to fraction form
    2,270.48/3,404.85 = 883.64/x
  3. Step 3: Cross multiply
    2,270.48x = 3,404.85 × 883.64
  4. Step 4: Simplify right side
    2,270.48x = 3,008,666.85
  5. Step 5: Solve for x
    x = 3,008,666.85/2,270.48
  6. Step 6: Final answer
    x = 1,325.13

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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.