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Finding the Fourth Proportional to 2,643.32, 3,964.99 and 1,000.38

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Solution

The fourth proportional to 2,643.32, 3,964.99 and 1,000.38 is: 1,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.32 : 3,964.99 = 1,000.38 : x
  2. Step 2: Convert to fraction form
    2,643.32/3,964.99 = 1,000.38/x
  3. Step 3: Cross multiply
    2,643.32x = 3,964.99 × 1,000.38
  4. Step 4: Simplify right side
    2,643.32x = 3,966,496.70
  5. Step 5: Solve for x
    x = 3,966,496.70/2,643.32
  6. Step 6: Final answer
    x = 1,500.57

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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.