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Finding the Fourth Proportional to 2,779.86, 4,168.62 and 930.51

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Solution

The fourth proportional to 2,779.86, 4,168.62 and 930.51 is: 1,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.86 : 4,168.62 = 930.51 : x
  2. Step 2: Convert to fraction form
    2,779.86/4,168.62 = 930.51/x
  3. Step 3: Cross multiply
    2,779.86x = 4,168.62 × 930.51
  4. Step 4: Simplify right side
    2,779.86x = 3,878,942.60
  5. Step 5: Solve for x
    x = 3,878,942.60/2,779.86
  6. Step 6: Final answer
    x = 1,395.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.