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Finding the Fourth Proportional to 3,076.25, 4,616.22 and 1,128.65

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Solution

The fourth proportional to 3,076.25, 4,616.22 and 1,128.65 is: 1,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.25 : 4,616.22 = 1,128.65 : x
  2. Step 2: Convert to fraction form
    3,076.25/4,616.22 = 1,128.65/x
  3. Step 3: Cross multiply
    3,076.25x = 4,616.22 × 1,128.65
  4. Step 4: Simplify right side
    3,076.25x = 5,210,096.70
  5. Step 5: Solve for x
    x = 5,210,096.70/3,076.25
  6. Step 6: Final answer
    x = 1,693.65

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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.