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Finding the Fourth Proportional to 2,054.82, 2,832.04 and 1,487.64

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Solution

The fourth proportional to 2,054.82, 2,832.04 and 1,487.64 is: 2,050.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.82 : 2,832.04 = 1,487.64 : x
  2. Step 2: Convert to fraction form
    2,054.82/2,832.04 = 1,487.64/x
  3. Step 3: Cross multiply
    2,054.82x = 2,832.04 × 1,487.64
  4. Step 4: Simplify right side
    2,054.82x = 4,213,055.99
  5. Step 5: Solve for x
    x = 4,213,055.99/2,054.82
  6. Step 6: Final answer
    x = 2,050.33

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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.