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Finding the Fourth Proportional to 2,055.93, 2,838.74 and 1,583.09

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Solution

The fourth proportional to 2,055.93, 2,838.74 and 1,583.09 is: 2,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.93 : 2,838.74 = 1,583.09 : x
  2. Step 2: Convert to fraction form
    2,055.93/2,838.74 = 1,583.09/x
  3. Step 3: Cross multiply
    2,055.93x = 2,838.74 × 1,583.09
  4. Step 4: Simplify right side
    2,055.93x = 4,493,980.91
  5. Step 5: Solve for x
    x = 4,493,980.91/2,055.93
  6. Step 6: Final answer
    x = 2,185.86

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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.