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Finding the Fourth Proportional to 3,038.94, 4,192.92 and 1,779.30

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Solution

The fourth proportional to 3,038.94, 4,192.92 and 1,779.30 is: 2,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.94 : 4,192.92 = 1,779.30 : x
  2. Step 2: Convert to fraction form
    3,038.94/4,192.92 = 1,779.30/x
  3. Step 3: Cross multiply
    3,038.94x = 4,192.92 × 1,779.30
  4. Step 4: Simplify right side
    3,038.94x = 7,460,462.56
  5. Step 5: Solve for x
    x = 7,460,462.56/3,038.94
  6. Step 6: Final answer
    x = 2,454.96

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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.