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Finding the Fourth Proportional to 2,360.51, 3,540.74 and 605.51

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Solution

The fourth proportional to 2,360.51, 3,540.74 and 605.51 is: 908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.51 : 3,540.74 = 605.51 : x
  2. Step 2: Convert to fraction form
    2,360.51/3,540.74 = 605.51/x
  3. Step 3: Cross multiply
    2,360.51x = 3,540.74 × 605.51
  4. Step 4: Simplify right side
    2,360.51x = 2,143,953.48
  5. Step 5: Solve for x
    x = 2,143,953.48/2,360.51
  6. Step 6: Final answer
    x = 908.26

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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.