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Finding the Fourth Proportional to 1,464.26, 2,196.31 and 368.62

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Solution

The fourth proportional to 1,464.26, 2,196.31 and 368.62 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.26 : 2,196.31 = 368.62 : x
  2. Step 2: Convert to fraction form
    1,464.26/2,196.31 = 368.62/x
  3. Step 3: Cross multiply
    1,464.26x = 2,196.31 × 368.62
  4. Step 4: Simplify right side
    1,464.26x = 809,602.87
  5. Step 5: Solve for x
    x = 809,602.87/1,464.26
  6. Step 6: Final answer
    x = 552.91

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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.