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Finding the Fourth Proportional to 1,605.81, 2,406.91 and 1,214.54

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Solution

The fourth proportional to 1,605.81, 2,406.91 and 1,214.54 is: 1,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.81 : 2,406.91 = 1,214.54 : x
  2. Step 2: Convert to fraction form
    1,605.81/2,406.91 = 1,214.54/x
  3. Step 3: Cross multiply
    1,605.81x = 2,406.91 × 1,214.54
  4. Step 4: Simplify right side
    1,605.81x = 2,923,288.47
  5. Step 5: Solve for x
    x = 2,923,288.47/1,605.81
  6. Step 6: Final answer
    x = 1,820.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.