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Finding the Fourth Proportional to 2,643.95, 3,967.28 and 1,345.41

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Solution

The fourth proportional to 2,643.95, 3,967.28 and 1,345.41 is: 2,018.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.95 : 3,967.28 = 1,345.41 : x
  2. Step 2: Convert to fraction form
    2,643.95/3,967.28 = 1,345.41/x
  3. Step 3: Cross multiply
    2,643.95x = 3,967.28 × 1,345.41
  4. Step 4: Simplify right side
    2,643.95x = 5,337,611.46
  5. Step 5: Solve for x
    x = 5,337,611.46/2,643.95
  6. Step 6: Final answer
    x = 2,018.81

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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.