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Finding the Fourth Proportional to 2,541.97, 3,813.41 and 899.47

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Solution

The fourth proportional to 2,541.97, 3,813.41 and 899.47 is: 1,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.97 : 3,813.41 = 899.47 : x
  2. Step 2: Convert to fraction form
    2,541.97/3,813.41 = 899.47/x
  3. Step 3: Cross multiply
    2,541.97x = 3,813.41 × 899.47
  4. Step 4: Simplify right side
    2,541.97x = 3,430,047.89
  5. Step 5: Solve for x
    x = 3,430,047.89/2,541.97
  6. Step 6: Final answer
    x = 1,349.37

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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.