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Finding the Fourth Proportional to 2,306.49, 3,460.24 and 662.91

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Solution

The fourth proportional to 2,306.49, 3,460.24 and 662.91 is: 994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.49 : 3,460.24 = 662.91 : x
  2. Step 2: Convert to fraction form
    2,306.49/3,460.24 = 662.91/x
  3. Step 3: Cross multiply
    2,306.49x = 3,460.24 × 662.91
  4. Step 4: Simplify right side
    2,306.49x = 2,293,827.70
  5. Step 5: Solve for x
    x = 2,293,827.70/2,306.49
  6. Step 6: Final answer
    x = 994.51

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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.