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Finding the Fourth Proportional to 2,645.87, 3,962.72 and 1,410.21

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Solution

The fourth proportional to 2,645.87, 3,962.72 and 1,410.21 is: 2,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.87 : 3,962.72 = 1,410.21 : x
  2. Step 2: Convert to fraction form
    2,645.87/3,962.72 = 1,410.21/x
  3. Step 3: Cross multiply
    2,645.87x = 3,962.72 × 1,410.21
  4. Step 4: Simplify right side
    2,645.87x = 5,588,270.90
  5. Step 5: Solve for x
    x = 5,588,270.90/2,645.87
  6. Step 6: Final answer
    x = 2,112.08

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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.