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Finding the Fourth Proportional to 1,485.37, 2,227.32 and 869.23

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Solution

The fourth proportional to 1,485.37, 2,227.32 and 869.23 is: 1,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.37 : 2,227.32 = 869.23 : x
  2. Step 2: Convert to fraction form
    1,485.37/2,227.32 = 869.23/x
  3. Step 3: Cross multiply
    1,485.37x = 2,227.32 × 869.23
  4. Step 4: Simplify right side
    1,485.37x = 1,936,053.36
  5. Step 5: Solve for x
    x = 1,936,053.36/1,485.37
  6. Step 6: Final answer
    x = 1,303.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.