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Finding the Fourth Proportional to 1,997.35, 3,002.00 and 1,652.89

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Solution

The fourth proportional to 1,997.35, 3,002.00 and 1,652.89 is: 2,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.35 : 3,002.00 = 1,652.89 : x
  2. Step 2: Convert to fraction form
    1,997.35/3,002.00 = 1,652.89/x
  3. Step 3: Cross multiply
    1,997.35x = 3,002.00 × 1,652.89
  4. Step 4: Simplify right side
    1,997.35x = 4,961,985.28
  5. Step 5: Solve for x
    x = 4,961,985.28/1,997.35
  6. Step 6: Final answer
    x = 2,484.29

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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.