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Finding the Fourth Proportional to 2,019.70, 3,024.69 and 1,368.46

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Solution

The fourth proportional to 2,019.70, 3,024.69 and 1,368.46 is: 2,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.70 : 3,024.69 = 1,368.46 : x
  2. Step 2: Convert to fraction form
    2,019.70/3,024.69 = 1,368.46/x
  3. Step 3: Cross multiply
    2,019.70x = 3,024.69 × 1,368.46
  4. Step 4: Simplify right side
    2,019.70x = 4,139,167.28
  5. Step 5: Solve for x
    x = 4,139,167.28/2,019.70
  6. Step 6: Final answer
    x = 2,049.40

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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.