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Finding the Fourth Proportional to 2,019.56, 2,786.76 and 1,135.28

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Solution

The fourth proportional to 2,019.56, 2,786.76 and 1,135.28 is: 1,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.56 : 2,786.76 = 1,135.28 : x
  2. Step 2: Convert to fraction form
    2,019.56/2,786.76 = 1,135.28/x
  3. Step 3: Cross multiply
    2,019.56x = 2,786.76 × 1,135.28
  4. Step 4: Simplify right side
    2,019.56x = 3,163,752.89
  5. Step 5: Solve for x
    x = 3,163,752.89/2,019.56
  6. Step 6: Final answer
    x = 1,566.56

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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.