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Finding the Fourth Proportional to 1,483.16, 2,224.83 and 661.37

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Solution

The fourth proportional to 1,483.16, 2,224.83 and 661.37 is: 992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.16 : 2,224.83 = 661.37 : x
  2. Step 2: Convert to fraction form
    1,483.16/2,224.83 = 661.37/x
  3. Step 3: Cross multiply
    1,483.16x = 2,224.83 × 661.37
  4. Step 4: Simplify right side
    1,483.16x = 1,471,435.82
  5. Step 5: Solve for x
    x = 1,471,435.82/1,483.16
  6. Step 6: Final answer
    x = 992.10

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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.