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Finding the Fourth Proportional to 2,306.36, 3,460.16 and 663.05

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Solution

The fourth proportional to 2,306.36, 3,460.16 and 663.05 is: 994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.36 : 3,460.16 = 663.05 : x
  2. Step 2: Convert to fraction form
    2,306.36/3,460.16 = 663.05/x
  3. Step 3: Cross multiply
    2,306.36x = 3,460.16 × 663.05
  4. Step 4: Simplify right side
    2,306.36x = 2,294,269.40
  5. Step 5: Solve for x
    x = 2,294,269.40/2,306.36
  6. Step 6: Final answer
    x = 994.76

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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.