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Finding the Fourth Proportional to 2,072.56, 2,860.12 and 1,141.12

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Solution

The fourth proportional to 2,072.56, 2,860.12 and 1,141.12 is: 1,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.56 : 2,860.12 = 1,141.12 : x
  2. Step 2: Convert to fraction form
    2,072.56/2,860.12 = 1,141.12/x
  3. Step 3: Cross multiply
    2,072.56x = 2,860.12 × 1,141.12
  4. Step 4: Simplify right side
    2,072.56x = 3,263,740.13
  5. Step 5: Solve for x
    x = 3,263,740.13/2,072.56
  6. Step 6: Final answer
    x = 1,574.74

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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.