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Finding the Fourth Proportional to 2,074.86, 3,112.29 and 1,423.62

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Solution

The fourth proportional to 2,074.86, 3,112.29 and 1,423.62 is: 2,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.86 : 3,112.29 = 1,423.62 : x
  2. Step 2: Convert to fraction form
    2,074.86/3,112.29 = 1,423.62/x
  3. Step 3: Cross multiply
    2,074.86x = 3,112.29 × 1,423.62
  4. Step 4: Simplify right side
    2,074.86x = 4,430,718.29
  5. Step 5: Solve for x
    x = 4,430,718.29/2,074.86
  6. Step 6: Final answer
    x = 2,135.43

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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.