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Finding the Fourth Proportional to 4,931.50, 7,398.29 and 1,644.85

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Solution

The fourth proportional to 4,931.50, 7,398.29 and 1,644.85 is: 2,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.50 : 7,398.29 = 1,644.85 : x
  2. Step 2: Convert to fraction form
    4,931.50/7,398.29 = 1,644.85/x
  3. Step 3: Cross multiply
    4,931.50x = 7,398.29 × 1,644.85
  4. Step 4: Simplify right side
    4,931.50x = 12,169,077.31
  5. Step 5: Solve for x
    x = 12,169,077.31/4,931.50
  6. Step 6: Final answer
    x = 2,467.62

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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.