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Finding the Fourth Proportional to 3,014.43, 4,519.98 and 933.86

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Solution

The fourth proportional to 3,014.43, 4,519.98 and 933.86 is: 1,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.43 : 4,519.98 = 933.86 : x
  2. Step 2: Convert to fraction form
    3,014.43/4,519.98 = 933.86/x
  3. Step 3: Cross multiply
    3,014.43x = 4,519.98 × 933.86
  4. Step 4: Simplify right side
    3,014.43x = 4,221,005.92
  5. Step 5: Solve for x
    x = 4,221,005.92/3,014.43
  6. Step 6: Final answer
    x = 1,400.27

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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.