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Finding the Fourth Proportional to 2,111.86, 3,164.70 and 1,330

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Solution

The fourth proportional to 2,111.86, 3,164.70 and 1,330 is: 1,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.86 : 3,164.70 = 1,330 : x
  2. Step 2: Convert to fraction form
    2,111.86/3,164.70 = 1,330/x
  3. Step 3: Cross multiply
    2,111.86x = 3,164.70 × 1,330
  4. Step 4: Simplify right side
    2,111.86x = 4,209,051
  5. Step 5: Solve for x
    x = 4,209,051/2,111.86
  6. Step 6: Final answer
    x = 1,993.05

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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.