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Finding the Fourth Proportional to 1,410.41, 2,116.06 and 486.07

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Solution

The fourth proportional to 1,410.41, 2,116.06 and 486.07 is: 729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.41 : 2,116.06 = 486.07 : x
  2. Step 2: Convert to fraction form
    1,410.41/2,116.06 = 486.07/x
  3. Step 3: Cross multiply
    1,410.41x = 2,116.06 × 486.07
  4. Step 4: Simplify right side
    1,410.41x = 1,028,546.78
  5. Step 5: Solve for x
    x = 1,028,546.78/1,410.41
  6. Step 6: Final answer
    x = 729.25

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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.