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Finding the Fourth Proportional to 2,751.04, 4,125.74 and 776.53

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Solution

The fourth proportional to 2,751.04, 4,125.74 and 776.53 is: 1,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.04 : 4,125.74 = 776.53 : x
  2. Step 2: Convert to fraction form
    2,751.04/4,125.74 = 776.53/x
  3. Step 3: Cross multiply
    2,751.04x = 4,125.74 × 776.53
  4. Step 4: Simplify right side
    2,751.04x = 3,203,760.88
  5. Step 5: Solve for x
    x = 3,203,760.88/2,751.04
  6. Step 6: Final answer
    x = 1,164.56

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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.