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Finding the Fourth Proportional to 3,160.94, 4,740.36 and 1,311.05

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Solution

The fourth proportional to 3,160.94, 4,740.36 and 1,311.05 is: 1,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.94 : 4,740.36 = 1,311.05 : x
  2. Step 2: Convert to fraction form
    3,160.94/4,740.36 = 1,311.05/x
  3. Step 3: Cross multiply
    3,160.94x = 4,740.36 × 1,311.05
  4. Step 4: Simplify right side
    3,160.94x = 6,214,825.28
  5. Step 5: Solve for x
    x = 6,214,825.28/3,160.94
  6. Step 6: Final answer
    x = 1,966.14

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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.