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Finding the Fourth Proportional to 2,260.42, 3,390.02 and 1,164.08

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Solution

The fourth proportional to 2,260.42, 3,390.02 and 1,164.08 is: 1,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.42 : 3,390.02 = 1,164.08 : x
  2. Step 2: Convert to fraction form
    2,260.42/3,390.02 = 1,164.08/x
  3. Step 3: Cross multiply
    2,260.42x = 3,390.02 × 1,164.08
  4. Step 4: Simplify right side
    2,260.42x = 3,946,254.48
  5. Step 5: Solve for x
    x = 3,946,254.48/2,260.42
  6. Step 6: Final answer
    x = 1,745.81

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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.