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Finding the Fourth Proportional to 1,216.36, 1,822.62 and 941.80

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Solution

The fourth proportional to 1,216.36, 1,822.62 and 941.80 is: 1,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.36 : 1,822.62 = 941.80 : x
  2. Step 2: Convert to fraction form
    1,216.36/1,822.62 = 941.80/x
  3. Step 3: Cross multiply
    1,216.36x = 1,822.62 × 941.80
  4. Step 4: Simplify right side
    1,216.36x = 1,716,543.52
  5. Step 5: Solve for x
    x = 1,716,543.52/1,216.36
  6. Step 6: Final answer
    x = 1,411.21

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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.