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Finding the Fourth Proportional to 2,306.58, 3,460.38 and 663

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Solution

The fourth proportional to 2,306.58, 3,460.38 and 663 is: 994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.58 : 3,460.38 = 663 : x
  2. Step 2: Convert to fraction form
    2,306.58/3,460.38 = 663/x
  3. Step 3: Cross multiply
    2,306.58x = 3,460.38 × 663
  4. Step 4: Simplify right side
    2,306.58x = 2,294,231.94
  5. Step 5: Solve for x
    x = 2,294,231.94/2,306.58
  6. Step 6: Final answer
    x = 994.65

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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.