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Finding the Fourth Proportional to 1,577.68, 2,174.24 and 1,134.81

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Solution

The fourth proportional to 1,577.68, 2,174.24 and 1,134.81 is: 1,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.68 : 2,174.24 = 1,134.81 : x
  2. Step 2: Convert to fraction form
    1,577.68/2,174.24 = 1,134.81/x
  3. Step 3: Cross multiply
    1,577.68x = 2,174.24 × 1,134.81
  4. Step 4: Simplify right side
    1,577.68x = 2,467,352.13
  5. Step 5: Solve for x
    x = 2,467,352.13/1,577.68
  6. Step 6: Final answer
    x = 1,563.91

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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.