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Finding the Fourth Proportional to 2,779.14, 4,168.72 and 930.23

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Solution

The fourth proportional to 2,779.14, 4,168.72 and 930.23 is: 1,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.14 : 4,168.72 = 930.23 : x
  2. Step 2: Convert to fraction form
    2,779.14/4,168.72 = 930.23/x
  3. Step 3: Cross multiply
    2,779.14x = 4,168.72 × 930.23
  4. Step 4: Simplify right side
    2,779.14x = 3,877,882.57
  5. Step 5: Solve for x
    x = 3,877,882.57/2,779.14
  6. Step 6: Final answer
    x = 1,395.36

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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.