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Finding the Fourth Proportional to 3,174.84, 4,760.10 and 1,532.16

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Solution

The fourth proportional to 3,174.84, 4,760.10 and 1,532.16 is: 2,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.84 : 4,760.10 = 1,532.16 : x
  2. Step 2: Convert to fraction form
    3,174.84/4,760.10 = 1,532.16/x
  3. Step 3: Cross multiply
    3,174.84x = 4,760.10 × 1,532.16
  4. Step 4: Simplify right side
    3,174.84x = 7,293,234.82
  5. Step 5: Solve for x
    x = 7,293,234.82/3,174.84
  6. Step 6: Final answer
    x = 2,297.20

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1.5x scale

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.