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Finding the Fourth Proportional to 1,893.48, 2,614 and 1,335.64

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Solution

The fourth proportional to 1,893.48, 2,614 and 1,335.64 is: 1,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.48 : 2,614 = 1,335.64 : x
  2. Step 2: Convert to fraction form
    1,893.48/2,614 = 1,335.64/x
  3. Step 3: Cross multiply
    1,893.48x = 2,614 × 1,335.64
  4. Step 4: Simplify right side
    1,893.48x = 3,491,362.96
  5. Step 5: Solve for x
    x = 3,491,362.96/1,893.48
  6. Step 6: Final answer
    x = 1,843.89

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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.