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Finding the Fourth Proportional to 3,174.77, 4,762.37 and 1,094.99

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Solution

The fourth proportional to 3,174.77, 4,762.37 and 1,094.99 is: 1,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.77 : 4,762.37 = 1,094.99 : x
  2. Step 2: Convert to fraction form
    3,174.77/4,762.37 = 1,094.99/x
  3. Step 3: Cross multiply
    3,174.77x = 4,762.37 × 1,094.99
  4. Step 4: Simplify right side
    3,174.77x = 5,214,726.45
  5. Step 5: Solve for x
    x = 5,214,726.45/3,174.77
  6. Step 6: Final answer
    x = 1,642.55

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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.