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Finding the Fourth Proportional to 2,774.58, 4,161.04 and 1,019.18

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Solution

The fourth proportional to 2,774.58, 4,161.04 and 1,019.18 is: 1,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.58 : 4,161.04 = 1,019.18 : x
  2. Step 2: Convert to fraction form
    2,774.58/4,161.04 = 1,019.18/x
  3. Step 3: Cross multiply
    2,774.58x = 4,161.04 × 1,019.18
  4. Step 4: Simplify right side
    2,774.58x = 4,240,848.75
  5. Step 5: Solve for x
    x = 4,240,848.75/2,774.58
  6. Step 6: Final answer
    x = 1,528.47

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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.