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Finding the Fourth Proportional to 2,443.89, 3,371.69 and 1,605.05

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Solution

The fourth proportional to 2,443.89, 3,371.69 and 1,605.05 is: 2,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.89 : 3,371.69 = 1,605.05 : x
  2. Step 2: Convert to fraction form
    2,443.89/3,371.69 = 1,605.05/x
  3. Step 3: Cross multiply
    2,443.89x = 3,371.69 × 1,605.05
  4. Step 4: Simplify right side
    2,443.89x = 5,411,718.79
  5. Step 5: Solve for x
    x = 5,411,718.79/2,443.89
  6. Step 6: Final answer
    x = 2,214.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.