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Finding the Fourth Proportional to 1,762.27, 2,642.19 and 774.61

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Solution

The fourth proportional to 1,762.27, 2,642.19 and 774.61 is: 1,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.27 : 2,642.19 = 774.61 : x
  2. Step 2: Convert to fraction form
    1,762.27/2,642.19 = 774.61/x
  3. Step 3: Cross multiply
    1,762.27x = 2,642.19 × 774.61
  4. Step 4: Simplify right side
    1,762.27x = 2,046,666.80
  5. Step 5: Solve for x
    x = 2,046,666.80/1,762.27
  6. Step 6: Final answer
    x = 1,161.38

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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.