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Finding the Fourth Proportional to 1,738.40, 2,607.56 and 505.81

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Solution

The fourth proportional to 1,738.40, 2,607.56 and 505.81 is: 758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.40 : 2,607.56 = 505.81 : x
  2. Step 2: Convert to fraction form
    1,738.40/2,607.56 = 505.81/x
  3. Step 3: Cross multiply
    1,738.40x = 2,607.56 × 505.81
  4. Step 4: Simplify right side
    1,738.40x = 1,318,932.55
  5. Step 5: Solve for x
    x = 1,318,932.55/1,738.40
  6. Step 6: Final answer
    x = 758.71

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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.