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Finding the Fourth Proportional to 1,643.36, 2,462.94 and 718.67

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Solution

The fourth proportional to 1,643.36, 2,462.94 and 718.67 is: 1,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.36 : 2,462.94 = 718.67 : x
  2. Step 2: Convert to fraction form
    1,643.36/2,462.94 = 718.67/x
  3. Step 3: Cross multiply
    1,643.36x = 2,462.94 × 718.67
  4. Step 4: Simplify right side
    1,643.36x = 1,770,028.78
  5. Step 5: Solve for x
    x = 1,770,028.78/1,643.36
  6. Step 6: Final answer
    x = 1,077.08

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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.