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Finding the Fourth Proportional to 4,034.56, 6,051.78 and 1,112.80

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Solution

The fourth proportional to 4,034.56, 6,051.78 and 1,112.80 is: 1,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.56 : 6,051.78 = 1,112.80 : x
  2. Step 2: Convert to fraction form
    4,034.56/6,051.78 = 1,112.80/x
  3. Step 3: Cross multiply
    4,034.56x = 6,051.78 × 1,112.80
  4. Step 4: Simplify right side
    4,034.56x = 6,734,420.78
  5. Step 5: Solve for x
    x = 6,734,420.78/4,034.56
  6. Step 6: Final answer
    x = 1,669.18

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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.