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Finding the Fourth Proportional to 2,541.89, 3,813.02 and 875.33

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Solution

The fourth proportional to 2,541.89, 3,813.02 and 875.33 is: 1,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.89 : 3,813.02 = 875.33 : x
  2. Step 2: Convert to fraction form
    2,541.89/3,813.02 = 875.33/x
  3. Step 3: Cross multiply
    2,541.89x = 3,813.02 × 875.33
  4. Step 4: Simplify right side
    2,541.89x = 3,337,627.35
  5. Step 5: Solve for x
    x = 3,337,627.35/2,541.89
  6. Step 6: Final answer
    x = 1,313.05

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