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Finding the Fourth Proportional to 2,051.76, 2,827.71 and 1,619.22

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Solution

The fourth proportional to 2,051.76, 2,827.71 and 1,619.22 is: 2,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.76 : 2,827.71 = 1,619.22 : x
  2. Step 2: Convert to fraction form
    2,051.76/2,827.71 = 1,619.22/x
  3. Step 3: Cross multiply
    2,051.76x = 2,827.71 × 1,619.22
  4. Step 4: Simplify right side
    2,051.76x = 4,578,684.59
  5. Step 5: Solve for x
    x = 4,578,684.59/2,051.76
  6. Step 6: Final answer
    x = 2,231.59

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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.