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Finding the Fourth Proportional to 3,161.88, 4,740.24 and 1,405.64

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Solution

The fourth proportional to 3,161.88, 4,740.24 and 1,405.64 is: 2,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.88 : 4,740.24 = 1,405.64 : x
  2. Step 2: Convert to fraction form
    3,161.88/4,740.24 = 1,405.64/x
  3. Step 3: Cross multiply
    3,161.88x = 4,740.24 × 1,405.64
  4. Step 4: Simplify right side
    3,161.88x = 6,663,070.95
  5. Step 5: Solve for x
    x = 6,663,070.95/3,161.88
  6. Step 6: Final answer
    x = 2,107.31

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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.