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Finding the Fourth Proportional to 2,643.40, 3,963.66 and 1,345.96

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Solution

The fourth proportional to 2,643.40, 3,963.66 and 1,345.96 is: 2,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.40 : 3,963.66 = 1,345.96 : x
  2. Step 2: Convert to fraction form
    2,643.40/3,963.66 = 1,345.96/x
  3. Step 3: Cross multiply
    2,643.40x = 3,963.66 × 1,345.96
  4. Step 4: Simplify right side
    2,643.40x = 5,334,927.81
  5. Step 5: Solve for x
    x = 5,334,927.81/2,643.40
  6. Step 6: Final answer
    x = 2,018.21

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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.