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Finding the Fourth Proportional to 3,014.41, 4,519.94 and 933.84

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Solution

The fourth proportional to 3,014.41, 4,519.94 and 933.84 is: 1,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.41 : 4,519.94 = 933.84 : x
  2. Step 2: Convert to fraction form
    3,014.41/4,519.94 = 933.84/x
  3. Step 3: Cross multiply
    3,014.41x = 4,519.94 × 933.84
  4. Step 4: Simplify right side
    3,014.41x = 4,220,900.77
  5. Step 5: Solve for x
    x = 4,220,900.77/3,014.41
  6. Step 6: Final answer
    x = 1,400.24

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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.