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Finding the Fourth Proportional to 2,074.85, 2,862.72 and 1,444.67

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Solution

The fourth proportional to 2,074.85, 2,862.72 and 1,444.67 is: 1,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.85 : 2,862.72 = 1,444.67 : x
  2. Step 2: Convert to fraction form
    2,074.85/2,862.72 = 1,444.67/x
  3. Step 3: Cross multiply
    2,074.85x = 2,862.72 × 1,444.67
  4. Step 4: Simplify right side
    2,074.85x = 4,135,671.39
  5. Step 5: Solve for x
    x = 4,135,671.39/2,074.85
  6. Step 6: Final answer
    x = 1,993.24

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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.