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Finding the Fourth Proportional to 3,077.94, 4,615.29 and 2,104.32

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Solution

The fourth proportional to 3,077.94, 4,615.29 and 2,104.32 is: 3,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.94 : 4,615.29 = 2,104.32 : x
  2. Step 2: Convert to fraction form
    3,077.94/4,615.29 = 2,104.32/x
  3. Step 3: Cross multiply
    3,077.94x = 4,615.29 × 2,104.32
  4. Step 4: Simplify right side
    3,077.94x = 9,712,047.05
  5. Step 5: Solve for x
    x = 9,712,047.05/3,077.94
  6. Step 6: Final answer
    x = 3,155.37

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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.