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Finding the Fourth Proportional to 2,119.46, 2,922.62 and 1,489.77

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Solution

The fourth proportional to 2,119.46, 2,922.62 and 1,489.77 is: 2,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.46 : 2,922.62 = 1,489.77 : x
  2. Step 2: Convert to fraction form
    2,119.46/2,922.62 = 1,489.77/x
  3. Step 3: Cross multiply
    2,119.46x = 2,922.62 × 1,489.77
  4. Step 4: Simplify right side
    2,119.46x = 4,354,024.15
  5. Step 5: Solve for x
    x = 4,354,024.15/2,119.46
  6. Step 6: Final answer
    x = 2,054.31

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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.