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Finding the Fourth Proportional to 2,420.94, 3,633.22 and 1,123.32

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Solution

The fourth proportional to 2,420.94, 3,633.22 and 1,123.32 is: 1,685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.94 : 3,633.22 = 1,123.32 : x
  2. Step 2: Convert to fraction form
    2,420.94/3,633.22 = 1,123.32/x
  3. Step 3: Cross multiply
    2,420.94x = 3,633.22 × 1,123.32
  4. Step 4: Simplify right side
    2,420.94x = 4,081,268.69
  5. Step 5: Solve for x
    x = 4,081,268.69/2,420.94
  6. Step 6: Final answer
    x = 1,685.82

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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.