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Finding the Fourth Proportional to 2,699.64, 4,049.58 and 1,314.12

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Solution

The fourth proportional to 2,699.64, 4,049.58 and 1,314.12 is: 1,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.64 : 4,049.58 = 1,314.12 : x
  2. Step 2: Convert to fraction form
    2,699.64/4,049.58 = 1,314.12/x
  3. Step 3: Cross multiply
    2,699.64x = 4,049.58 × 1,314.12
  4. Step 4: Simplify right side
    2,699.64x = 5,321,634.07
  5. Step 5: Solve for x
    x = 5,321,634.07/2,699.64
  6. Step 6: Final answer
    x = 1,971.24

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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.