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Finding the Fourth Proportional to 2,306.74, 3,460.70 and 1,072.70

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Solution

The fourth proportional to 2,306.74, 3,460.70 and 1,072.70 is: 1,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.74 : 3,460.70 = 1,072.70 : x
  2. Step 2: Convert to fraction form
    2,306.74/3,460.70 = 1,072.70/x
  3. Step 3: Cross multiply
    2,306.74x = 3,460.70 × 1,072.70
  4. Step 4: Simplify right side
    2,306.74x = 3,712,297.96
  5. Step 5: Solve for x
    x = 3,712,297.96/2,306.74
  6. Step 6: Final answer
    x = 1,609.33

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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.