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Finding the Fourth Proportional to 1,464.09, 2,196.11 and 368.43

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Solution

The fourth proportional to 1,464.09, 2,196.11 and 368.43 is: 552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.09 : 2,196.11 = 368.43 : x
  2. Step 2: Convert to fraction form
    1,464.09/2,196.11 = 368.43/x
  3. Step 3: Cross multiply
    1,464.09x = 2,196.11 × 368.43
  4. Step 4: Simplify right side
    1,464.09x = 809,113.21
  5. Step 5: Solve for x
    x = 809,113.21/1,464.09
  6. Step 6: Final answer
    x = 552.64

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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.