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Finding the Fourth Proportional to 1,216.40, 1,821.90 and 941.60

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Solution

The fourth proportional to 1,216.40, 1,821.90 and 941.60 is: 1,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.40 : 1,821.90 = 941.60 : x
  2. Step 2: Convert to fraction form
    1,216.40/1,821.90 = 941.60/x
  3. Step 3: Cross multiply
    1,216.40x = 1,821.90 × 941.60
  4. Step 4: Simplify right side
    1,216.40x = 1,715,501.04
  5. Step 5: Solve for x
    x = 1,715,501.04/1,216.40
  6. Step 6: Final answer
    x = 1,410.31

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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.