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Finding the Fourth Proportional to 2,074.98, 3,112.18 and 842.40

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Solution

The fourth proportional to 2,074.98, 3,112.18 and 842.40 is: 1,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.98 : 3,112.18 = 842.40 : x
  2. Step 2: Convert to fraction form
    2,074.98/3,112.18 = 842.40/x
  3. Step 3: Cross multiply
    2,074.98x = 3,112.18 × 842.40
  4. Step 4: Simplify right side
    2,074.98x = 2,621,700.43
  5. Step 5: Solve for x
    x = 2,621,700.43/2,074.98
  6. Step 6: Final answer
    x = 1,263.48

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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.