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Finding the Fourth Proportional to 4,190, 6,285.02 and 1,112

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Solution

The fourth proportional to 4,190, 6,285.02 and 1,112 is: 1,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 6,285.02 = 1,112 : x
  2. Step 2: Convert to fraction form
    4,190/6,285.02 = 1,112/x
  3. Step 3: Cross multiply
    4,190x = 6,285.02 × 1,112
  4. Step 4: Simplify right side
    4,190x = 6,988,942.24
  5. Step 5: Solve for x
    x = 6,988,942.24/4,190
  6. Step 6: Final answer
    x = 1,668.01

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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.