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Finding the Fourth Proportional to 2,541.35, 3,813.54 and 899.05

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Solution

The fourth proportional to 2,541.35, 3,813.54 and 899.05 is: 1,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.35 : 3,813.54 = 899.05 : x
  2. Step 2: Convert to fraction form
    2,541.35/3,813.54 = 899.05/x
  3. Step 3: Cross multiply
    2,541.35x = 3,813.54 × 899.05
  4. Step 4: Simplify right side
    2,541.35x = 3,428,563.14
  5. Step 5: Solve for x
    x = 3,428,563.14/2,541.35
  6. Step 6: Final answer
    x = 1,349.11

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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.