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Finding the Fourth Proportional to 3,076.32, 4,606.24 and 1,612.38

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Solution

The fourth proportional to 3,076.32, 4,606.24 and 1,612.38 is: 2,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.32 : 4,606.24 = 1,612.38 : x
  2. Step 2: Convert to fraction form
    3,076.32/4,606.24 = 1,612.38/x
  3. Step 3: Cross multiply
    3,076.32x = 4,606.24 × 1,612.38
  4. Step 4: Simplify right side
    3,076.32x = 7,427,009.25
  5. Step 5: Solve for x
    x = 7,427,009.25/3,076.32
  6. Step 6: Final answer
    x = 2,414.25

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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.