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Finding the Fourth Proportional to 2,410.94, 3,327.08 and 1,416.33

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Solution

The fourth proportional to 2,410.94, 3,327.08 and 1,416.33 is: 1,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.94 : 3,327.08 = 1,416.33 : x
  2. Step 2: Convert to fraction form
    2,410.94/3,327.08 = 1,416.33/x
  3. Step 3: Cross multiply
    2,410.94x = 3,327.08 × 1,416.33
  4. Step 4: Simplify right side
    2,410.94x = 4,712,236.13
  5. Step 5: Solve for x
    x = 4,712,236.13/2,410.94
  6. Step 6: Final answer
    x = 1,954.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.