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Finding the Fourth Proportional to 2,011.85, 2,776.28 and 1,115.64

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Solution

The fourth proportional to 2,011.85, 2,776.28 and 1,115.64 is: 1,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.85 : 2,776.28 = 1,115.64 : x
  2. Step 2: Convert to fraction form
    2,011.85/2,776.28 = 1,115.64/x
  3. Step 3: Cross multiply
    2,011.85x = 2,776.28 × 1,115.64
  4. Step 4: Simplify right side
    2,011.85x = 3,097,323.44
  5. Step 5: Solve for x
    x = 3,097,323.44/2,011.85
  6. Step 6: Final answer
    x = 1,539.54

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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.