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Finding the Fourth Proportional to 2,741.31, 3,783.10 and 1,499.31

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Solution

The fourth proportional to 2,741.31, 3,783.10 and 1,499.31 is: 2,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.31 : 3,783.10 = 1,499.31 : x
  2. Step 2: Convert to fraction form
    2,741.31/3,783.10 = 1,499.31/x
  3. Step 3: Cross multiply
    2,741.31x = 3,783.10 × 1,499.31
  4. Step 4: Simplify right side
    2,741.31x = 5,672,050.99
  5. Step 5: Solve for x
    x = 5,672,050.99/2,741.31
  6. Step 6: Final answer
    x = 2,069.10

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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.