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Finding the Fourth Proportional to 2,265.48, 3,398.94 and 805.14

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Solution

The fourth proportional to 2,265.48, 3,398.94 and 805.14 is: 1,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.48 : 3,398.94 = 805.14 : x
  2. Step 2: Convert to fraction form
    2,265.48/3,398.94 = 805.14/x
  3. Step 3: Cross multiply
    2,265.48x = 3,398.94 × 805.14
  4. Step 4: Simplify right side
    2,265.48x = 2,736,622.55
  5. Step 5: Solve for x
    x = 2,736,622.55/2,265.48
  6. Step 6: Final answer
    x = 1,207.97

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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.