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Finding the Fourth Proportional to 3,460.88, 4,775.94 and 1,889

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Solution

The fourth proportional to 3,460.88, 4,775.94 and 1,889 is: 2,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.88 : 4,775.94 = 1,889 : x
  2. Step 2: Convert to fraction form
    3,460.88/4,775.94 = 1,889/x
  3. Step 3: Cross multiply
    3,460.88x = 4,775.94 × 1,889
  4. Step 4: Simplify right side
    3,460.88x = 9,021,750.66
  5. Step 5: Solve for x
    x = 9,021,750.66/3,460.88
  6. Step 6: Final answer
    x = 2,606.78

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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.