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Finding the Fourth Proportional to 2,779.36, 4,185.23 and 2,054

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Solution

The fourth proportional to 2,779.36, 4,185.23 and 2,054 is: 3,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.36 : 4,185.23 = 2,054 : x
  2. Step 2: Convert to fraction form
    2,779.36/4,185.23 = 2,054/x
  3. Step 3: Cross multiply
    2,779.36x = 4,185.23 × 2,054
  4. Step 4: Simplify right side
    2,779.36x = 8,596,462.42
  5. Step 5: Solve for x
    x = 8,596,462.42/2,779.36
  6. Step 6: Final answer
    x = 3,092.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.