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Finding the Fourth Proportional to 2,021.40, 3,026.03 and 1,802.70

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Solution

The fourth proportional to 2,021.40, 3,026.03 and 1,802.70 is: 2,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.40 : 3,026.03 = 1,802.70 : x
  2. Step 2: Convert to fraction form
    2,021.40/3,026.03 = 1,802.70/x
  3. Step 3: Cross multiply
    2,021.40x = 3,026.03 × 1,802.70
  4. Step 4: Simplify right side
    2,021.40x = 5,455,015.27
  5. Step 5: Solve for x
    x = 5,455,015.27/2,021.40
  6. Step 6: Final answer
    x = 2,698.63

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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.