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Finding the Fourth Proportional to 1,460.05, 2,010.22 and 1,360.69

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Solution

The fourth proportional to 1,460.05, 2,010.22 and 1,360.69 is: 1,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.05 : 2,010.22 = 1,360.69 : x
  2. Step 2: Convert to fraction form
    1,460.05/2,010.22 = 1,360.69/x
  3. Step 3: Cross multiply
    1,460.05x = 2,010.22 × 1,360.69
  4. Step 4: Simplify right side
    1,460.05x = 2,735,286.25
  5. Step 5: Solve for x
    x = 2,735,286.25/1,460.05
  6. Step 6: Final answer
    x = 1,873.42

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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.