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Finding the Fourth Proportional to 2,306.98, 3,460.93 and 663.54

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Solution

The fourth proportional to 2,306.98, 3,460.93 and 663.54 is: 995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.98 : 3,460.93 = 663.54 : x
  2. Step 2: Convert to fraction form
    2,306.98/3,460.93 = 663.54/x
  3. Step 3: Cross multiply
    2,306.98x = 3,460.93 × 663.54
  4. Step 4: Simplify right side
    2,306.98x = 2,296,470.32
  5. Step 5: Solve for x
    x = 2,296,470.32/2,306.98
  6. Step 6: Final answer
    x = 995.44

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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.