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Finding the Fourth Proportional to 2,270.16, 3,405.24 and 970.79

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Solution

The fourth proportional to 2,270.16, 3,405.24 and 970.79 is: 1,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.16 : 3,405.24 = 970.79 : x
  2. Step 2: Convert to fraction form
    2,270.16/3,405.24 = 970.79/x
  3. Step 3: Cross multiply
    2,270.16x = 3,405.24 × 970.79
  4. Step 4: Simplify right side
    2,270.16x = 3,305,755.91
  5. Step 5: Solve for x
    x = 3,305,755.91/2,270.16
  6. Step 6: Final answer
    x = 1,456.18

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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.