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Finding the Fourth Proportional to 1,381.63, 1,906.63 and 752.15

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Solution

The fourth proportional to 1,381.63, 1,906.63 and 752.15 is: 1,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.63 : 1,906.63 = 752.15 : x
  2. Step 2: Convert to fraction form
    1,381.63/1,906.63 = 752.15/x
  3. Step 3: Cross multiply
    1,381.63x = 1,906.63 × 752.15
  4. Step 4: Simplify right side
    1,381.63x = 1,434,074.64
  5. Step 5: Solve for x
    x = 1,434,074.64/1,381.63
  6. Step 6: Final answer
    x = 1,037.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.