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Finding the Fourth Proportional to 2,710.34, 4,065.78 and 762.54

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Solution

The fourth proportional to 2,710.34, 4,065.78 and 762.54 is: 1,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.34 : 4,065.78 = 762.54 : x
  2. Step 2: Convert to fraction form
    2,710.34/4,065.78 = 762.54/x
  3. Step 3: Cross multiply
    2,710.34x = 4,065.78 × 762.54
  4. Step 4: Simplify right side
    2,710.34x = 3,100,319.88
  5. Step 5: Solve for x
    x = 3,100,319.88/2,710.34
  6. Step 6: Final answer
    x = 1,143.89

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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.