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Finding the Fourth Proportional to 1,643.90, 2,268.51 and 945.32

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Solution

The fourth proportional to 1,643.90, 2,268.51 and 945.32 is: 1,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.90 : 2,268.51 = 945.32 : x
  2. Step 2: Convert to fraction form
    1,643.90/2,268.51 = 945.32/x
  3. Step 3: Cross multiply
    1,643.90x = 2,268.51 × 945.32
  4. Step 4: Simplify right side
    1,643.90x = 2,144,467.87
  5. Step 5: Solve for x
    x = 2,144,467.87/1,643.90
  6. Step 6: Final answer
    x = 1,304.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.