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Finding the Fourth Proportional to 2,017.71, 3,024.73 and 1,401.70

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Solution

The fourth proportional to 2,017.71, 3,024.73 and 1,401.70 is: 2,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.71 : 3,024.73 = 1,401.70 : x
  2. Step 2: Convert to fraction form
    2,017.71/3,024.73 = 1,401.70/x
  3. Step 3: Cross multiply
    2,017.71x = 3,024.73 × 1,401.70
  4. Step 4: Simplify right side
    2,017.71x = 4,239,764.04
  5. Step 5: Solve for x
    x = 4,239,764.04/2,017.71
  6. Step 6: Final answer
    x = 2,101.28

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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.