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Finding the Fourth Proportional to 2,019.32, 3,029.01 and 1,330.40

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Solution

The fourth proportional to 2,019.32, 3,029.01 and 1,330.40 is: 1,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.32 : 3,029.01 = 1,330.40 : x
  2. Step 2: Convert to fraction form
    2,019.32/3,029.01 = 1,330.40/x
  3. Step 3: Cross multiply
    2,019.32x = 3,029.01 × 1,330.40
  4. Step 4: Simplify right side
    2,019.32x = 4,029,788.25
  5. Step 5: Solve for x
    x = 4,029,788.25/2,019.32
  6. Step 6: Final answer
    x = 1,995.62

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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.