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Finding the Fourth Proportional to 3,161.54, 4,740.27 and 1,313.93

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Solution

The fourth proportional to 3,161.54, 4,740.27 and 1,313.93 is: 1,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.54 : 4,740.27 = 1,313.93 : x
  2. Step 2: Convert to fraction form
    3,161.54/4,740.27 = 1,313.93/x
  3. Step 3: Cross multiply
    3,161.54x = 4,740.27 × 1,313.93
  4. Step 4: Simplify right side
    3,161.54x = 6,228,359.26
  5. Step 5: Solve for x
    x = 6,228,359.26/3,161.54
  6. Step 6: Final answer
    x = 1,970.04

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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.