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Finding the Fourth Proportional to 1,604.81, 2,394.77 and 1,420.27

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Solution

The fourth proportional to 1,604.81, 2,394.77 and 1,420.27 is: 2,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 2,394.77 = 1,420.27 : x
  2. Step 2: Convert to fraction form
    1,604.81/2,394.77 = 1,420.27/x
  3. Step 3: Cross multiply
    1,604.81x = 2,394.77 × 1,420.27
  4. Step 4: Simplify right side
    1,604.81x = 3,401,206.90
  5. Step 5: Solve for x
    x = 3,401,206.90/1,604.81
  6. Step 6: Final answer
    x = 2,119.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.