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Finding the Fourth Proportional to 2,177.44, 3,005.04 and 1,392.16

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Solution

The fourth proportional to 2,177.44, 3,005.04 and 1,392.16 is: 1,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.44 : 3,005.04 = 1,392.16 : x
  2. Step 2: Convert to fraction form
    2,177.44/3,005.04 = 1,392.16/x
  3. Step 3: Cross multiply
    2,177.44x = 3,005.04 × 1,392.16
  4. Step 4: Simplify right side
    2,177.44x = 4,183,496.49
  5. Step 5: Solve for x
    x = 4,183,496.49/2,177.44
  6. Step 6: Final answer
    x = 1,921.29

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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.