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Finding the Fourth Proportional to 4,193, 6,292.38 and 1,457

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Solution

The fourth proportional to 4,193, 6,292.38 and 1,457 is: 2,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 6,292.38 = 1,457 : x
  2. Step 2: Convert to fraction form
    4,193/6,292.38 = 1,457/x
  3. Step 3: Cross multiply
    4,193x = 6,292.38 × 1,457
  4. Step 4: Simplify right side
    4,193x = 9,167,997.66
  5. Step 5: Solve for x
    x = 9,167,997.66/4,193
  6. Step 6: Final answer
    x = 2,186.50

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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.