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Finding the Fourth Proportional to 2,314.41, 3,463.93 and 1,850.01

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Solution

The fourth proportional to 2,314.41, 3,463.93 and 1,850.01 is: 2,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.41 : 3,463.93 = 1,850.01 : x
  2. Step 2: Convert to fraction form
    2,314.41/3,463.93 = 1,850.01/x
  3. Step 3: Cross multiply
    2,314.41x = 3,463.93 × 1,850.01
  4. Step 4: Simplify right side
    2,314.41x = 6,408,315.88
  5. Step 5: Solve for x
    x = 6,408,315.88/2,314.41
  6. Step 6: Final answer
    x = 2,768.88

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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.