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Finding the Fourth Proportional to 2,306.63, 3,460.34 and 747.03

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Solution

The fourth proportional to 2,306.63, 3,460.34 and 747.03 is: 1,120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.63 : 3,460.34 = 747.03 : x
  2. Step 2: Convert to fraction form
    2,306.63/3,460.34 = 747.03/x
  3. Step 3: Cross multiply
    2,306.63x = 3,460.34 × 747.03
  4. Step 4: Simplify right side
    2,306.63x = 2,584,977.79
  5. Step 5: Solve for x
    x = 2,584,977.79/2,306.63
  6. Step 6: Final answer
    x = 1,120.67

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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.