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Finding the Fourth Proportional to 1,829.88, 2,744.86 and 675.64

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Solution

The fourth proportional to 1,829.88, 2,744.86 and 675.64 is: 1,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.88 : 2,744.86 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,829.88/2,744.86 = 675.64/x
  3. Step 3: Cross multiply
    1,829.88x = 2,744.86 × 675.64
  4. Step 4: Simplify right side
    1,829.88x = 1,854,537.21
  5. Step 5: Solve for x
    x = 1,854,537.21/1,829.88
  6. Step 6: Final answer
    x = 1,013.47

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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.