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Finding the Fourth Proportional to 1,443.54, 2,168.77 and 924.56

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Solution

The fourth proportional to 1,443.54, 2,168.77 and 924.56 is: 1,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.54 : 2,168.77 = 924.56 : x
  2. Step 2: Convert to fraction form
    1,443.54/2,168.77 = 924.56/x
  3. Step 3: Cross multiply
    1,443.54x = 2,168.77 × 924.56
  4. Step 4: Simplify right side
    1,443.54x = 2,005,157.99
  5. Step 5: Solve for x
    x = 2,005,157.99/1,443.54
  6. Step 6: Final answer
    x = 1,389.06

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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.