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Finding the Fourth Proportional to 1,782.45, 2,674.13 and 1,438.91

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Solution

The fourth proportional to 1,782.45, 2,674.13 and 1,438.91 is: 2,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.45 : 2,674.13 = 1,438.91 : x
  2. Step 2: Convert to fraction form
    1,782.45/2,674.13 = 1,438.91/x
  3. Step 3: Cross multiply
    1,782.45x = 2,674.13 × 1,438.91
  4. Step 4: Simplify right side
    1,782.45x = 3,847,811.83
  5. Step 5: Solve for x
    x = 3,847,811.83/1,782.45
  6. Step 6: Final answer
    x = 2,158.72

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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.