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Finding the Fourth Proportional to 2,169.58, 3,255.13 and 1,577.16

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Solution

The fourth proportional to 2,169.58, 3,255.13 and 1,577.16 is: 2,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.58 : 3,255.13 = 1,577.16 : x
  2. Step 2: Convert to fraction form
    2,169.58/3,255.13 = 1,577.16/x
  3. Step 3: Cross multiply
    2,169.58x = 3,255.13 × 1,577.16
  4. Step 4: Simplify right side
    2,169.58x = 5,133,844.56
  5. Step 5: Solve for x
    x = 5,133,844.56/2,169.58
  6. Step 6: Final answer
    x = 2,366.28

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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.