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Finding the Fourth Proportional to 1,643.72, 2,466.08 and 718.84

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Solution

The fourth proportional to 1,643.72, 2,466.08 and 718.84 is: 1,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.72 : 2,466.08 = 718.84 : x
  2. Step 2: Convert to fraction form
    1,643.72/2,466.08 = 718.84/x
  3. Step 3: Cross multiply
    1,643.72x = 2,466.08 × 718.84
  4. Step 4: Simplify right side
    1,643.72x = 1,772,716.95
  5. Step 5: Solve for x
    x = 1,772,716.95/1,643.72
  6. Step 6: Final answer
    x = 1,078.48

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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.