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Finding the Fourth Proportional to 2,381.94, 3,573.26 and 738.63

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Solution

The fourth proportional to 2,381.94, 3,573.26 and 738.63 is: 1,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.94 : 3,573.26 = 738.63 : x
  2. Step 2: Convert to fraction form
    2,381.94/3,573.26 = 738.63/x
  3. Step 3: Cross multiply
    2,381.94x = 3,573.26 × 738.63
  4. Step 4: Simplify right side
    2,381.94x = 2,639,313.34
  5. Step 5: Solve for x
    x = 2,639,313.34/2,381.94
  6. Step 6: Final answer
    x = 1,108.05

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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.