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Finding the Fourth Proportional to 2,000.06, 2,997.30 and 1,024.10

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Solution

The fourth proportional to 2,000.06, 2,997.30 and 1,024.10 is: 1,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.06 : 2,997.30 = 1,024.10 : x
  2. Step 2: Convert to fraction form
    2,000.06/2,997.30 = 1,024.10/x
  3. Step 3: Cross multiply
    2,000.06x = 2,997.30 × 1,024.10
  4. Step 4: Simplify right side
    2,000.06x = 3,069,534.93
  5. Step 5: Solve for x
    x = 3,069,534.93/2,000.06
  6. Step 6: Final answer
    x = 1,534.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.