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Finding the Fourth Proportional to 2,000.29, 3,001.30 and 1,074.77

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Solution

The fourth proportional to 2,000.29, 3,001.30 and 1,074.77 is: 1,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.29 : 3,001.30 = 1,074.77 : x
  2. Step 2: Convert to fraction form
    2,000.29/3,001.30 = 1,074.77/x
  3. Step 3: Cross multiply
    2,000.29x = 3,001.30 × 1,074.77
  4. Step 4: Simplify right side
    2,000.29x = 3,225,707.20
  5. Step 5: Solve for x
    x = 3,225,707.20/2,000.29
  6. Step 6: Final answer
    x = 1,612.62

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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.