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Finding the Fourth Proportional to 3,427.86, 4,731.34 and 2,011.74

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Solution

The fourth proportional to 3,427.86, 4,731.34 and 2,011.74 is: 2,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.86 : 4,731.34 = 2,011.74 : x
  2. Step 2: Convert to fraction form
    3,427.86/4,731.34 = 2,011.74/x
  3. Step 3: Cross multiply
    3,427.86x = 4,731.34 × 2,011.74
  4. Step 4: Simplify right side
    3,427.86x = 9,518,225.93
  5. Step 5: Solve for x
    x = 9,518,225.93/3,427.86
  6. Step 6: Final answer
    x = 2,776.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.