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Finding the Fourth Proportional to 2,261.61, 3,389.94 and 1,164.51

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Solution

The fourth proportional to 2,261.61, 3,389.94 and 1,164.51 is: 1,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.61 : 3,389.94 = 1,164.51 : x
  2. Step 2: Convert to fraction form
    2,261.61/3,389.94 = 1,164.51/x
  3. Step 3: Cross multiply
    2,261.61x = 3,389.94 × 1,164.51
  4. Step 4: Simplify right side
    2,261.61x = 3,947,619.03
  5. Step 5: Solve for x
    x = 3,947,619.03/2,261.61
  6. Step 6: Final answer
    x = 1,745.49

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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.