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Finding the Fourth Proportional to 2,343.37, 3,513.99 and 881.49

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Solution

The fourth proportional to 2,343.37, 3,513.99 and 881.49 is: 1,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.37 : 3,513.99 = 881.49 : x
  2. Step 2: Convert to fraction form
    2,343.37/3,513.99 = 881.49/x
  3. Step 3: Cross multiply
    2,343.37x = 3,513.99 × 881.49
  4. Step 4: Simplify right side
    2,343.37x = 3,097,547.05
  5. Step 5: Solve for x
    x = 3,097,547.05/2,343.37
  6. Step 6: Final answer
    x = 1,321.83

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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.