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Finding the Fourth Proportional to 2,260.71, 3,392.15 and 1,164.51

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Solution

The fourth proportional to 2,260.71, 3,392.15 and 1,164.51 is: 1,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.71 : 3,392.15 = 1,164.51 : x
  2. Step 2: Convert to fraction form
    2,260.71/3,392.15 = 1,164.51/x
  3. Step 3: Cross multiply
    2,260.71x = 3,392.15 × 1,164.51
  4. Step 4: Simplify right side
    2,260.71x = 3,950,186.77
  5. Step 5: Solve for x
    x = 3,950,186.77/2,260.71
  6. Step 6: Final answer
    x = 1,747.32

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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.