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Finding the Fourth Proportional to 1,777.49, 2,661.21 and 942.65

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Solution

The fourth proportional to 1,777.49, 2,661.21 and 942.65 is: 1,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.49 : 2,661.21 = 942.65 : x
  2. Step 2: Convert to fraction form
    1,777.49/2,661.21 = 942.65/x
  3. Step 3: Cross multiply
    1,777.49x = 2,661.21 × 942.65
  4. Step 4: Simplify right side
    1,777.49x = 2,508,589.61
  5. Step 5: Solve for x
    x = 2,508,589.61/1,777.49
  6. Step 6: Final answer
    x = 1,411.31

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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.