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Finding the Fourth Proportional to 1,992.59, 2,751.01 and 1,284.69

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Solution

The fourth proportional to 1,992.59, 2,751.01 and 1,284.69 is: 1,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.59 : 2,751.01 = 1,284.69 : x
  2. Step 2: Convert to fraction form
    1,992.59/2,751.01 = 1,284.69/x
  3. Step 3: Cross multiply
    1,992.59x = 2,751.01 × 1,284.69
  4. Step 4: Simplify right side
    1,992.59x = 3,534,181.51
  5. Step 5: Solve for x
    x = 3,534,181.51/1,992.59
  6. Step 6: Final answer
    x = 1,773.66

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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.