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Finding the Fourth Proportional to 3,174.66, 4,762.62 and 1,532.34

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Solution

The fourth proportional to 3,174.66, 4,762.62 and 1,532.34 is: 2,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.66 : 4,762.62 = 1,532.34 : x
  2. Step 2: Convert to fraction form
    3,174.66/4,762.62 = 1,532.34/x
  3. Step 3: Cross multiply
    3,174.66x = 4,762.62 × 1,532.34
  4. Step 4: Simplify right side
    3,174.66x = 7,297,953.13
  5. Step 5: Solve for x
    x = 7,297,953.13/3,174.66
  6. Step 6: Final answer
    x = 2,298.81

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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.