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Finding the Fourth Proportional to 2,643.35, 3,963.67 and 1,410.53

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Solution

The fourth proportional to 2,643.35, 3,963.67 and 1,410.53 is: 2,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.35 : 3,963.67 = 1,410.53 : x
  2. Step 2: Convert to fraction form
    2,643.35/3,963.67 = 1,410.53/x
  3. Step 3: Cross multiply
    2,643.35x = 3,963.67 × 1,410.53
  4. Step 4: Simplify right side
    2,643.35x = 5,590,852.10
  5. Step 5: Solve for x
    x = 5,590,852.10/2,643.35
  6. Step 6: Final answer
    x = 2,115.07

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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.