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Finding the Fourth Proportional to 2,774.76, 4,163.82 and 1,044.60

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Solution

The fourth proportional to 2,774.76, 4,163.82 and 1,044.60 is: 1,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.76 : 4,163.82 = 1,044.60 : x
  2. Step 2: Convert to fraction form
    2,774.76/4,163.82 = 1,044.60/x
  3. Step 3: Cross multiply
    2,774.76x = 4,163.82 × 1,044.60
  4. Step 4: Simplify right side
    2,774.76x = 4,349,526.37
  5. Step 5: Solve for x
    x = 4,349,526.37/2,774.76
  6. Step 6: Final answer
    x = 1,567.53

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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.