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Finding the Fourth Proportional to 3,176.54, 4,764.96 and 1,534.47

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Solution

The fourth proportional to 3,176.54, 4,764.96 and 1,534.47 is: 2,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.54 : 4,764.96 = 1,534.47 : x
  2. Step 2: Convert to fraction form
    3,176.54/4,764.96 = 1,534.47/x
  3. Step 3: Cross multiply
    3,176.54x = 4,764.96 × 1,534.47
  4. Step 4: Simplify right side
    3,176.54x = 7,311,670.30
  5. Step 5: Solve for x
    x = 7,311,670.30/3,176.54
  6. Step 6: Final answer
    x = 2,301.77

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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.