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Finding the Fourth Proportional to 2,828.48, 4,242.24 and 776

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Solution

The fourth proportional to 2,828.48, 4,242.24 and 776 is: 1,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.48 : 4,242.24 = 776 : x
  2. Step 2: Convert to fraction form
    2,828.48/4,242.24 = 776/x
  3. Step 3: Cross multiply
    2,828.48x = 4,242.24 × 776
  4. Step 4: Simplify right side
    2,828.48x = 3,291,978.24
  5. Step 5: Solve for x
    x = 3,291,978.24/2,828.48
  6. Step 6: Final answer
    x = 1,163.87

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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.