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Finding the Fourth Proportional to 1,643.63, 2,464.24 and 656.14

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Solution

The fourth proportional to 1,643.63, 2,464.24 and 656.14 is: 983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.63 : 2,464.24 = 656.14 : x
  2. Step 2: Convert to fraction form
    1,643.63/2,464.24 = 656.14/x
  3. Step 3: Cross multiply
    1,643.63x = 2,464.24 × 656.14
  4. Step 4: Simplify right side
    1,643.63x = 1,616,878.63
  5. Step 5: Solve for x
    x = 1,616,878.63/1,643.63
  6. Step 6: Final answer
    x = 983.73

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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.