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Finding the Fourth Proportional to 2,054.12, 2,832.90 and 1,256.84

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Solution

The fourth proportional to 2,054.12, 2,832.90 and 1,256.84 is: 1,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.12 : 2,832.90 = 1,256.84 : x
  2. Step 2: Convert to fraction form
    2,054.12/2,832.90 = 1,256.84/x
  3. Step 3: Cross multiply
    2,054.12x = 2,832.90 × 1,256.84
  4. Step 4: Simplify right side
    2,054.12x = 3,560,502.04
  5. Step 5: Solve for x
    x = 3,560,502.04/2,054.12
  6. Step 6: Final answer
    x = 1,733.35

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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.