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Finding the Fourth Proportional to 2,305.53, 3,455.67 and 1,381.75

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Solution

The fourth proportional to 2,305.53, 3,455.67 and 1,381.75 is: 2,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.53 : 3,455.67 = 1,381.75 : x
  2. Step 2: Convert to fraction form
    2,305.53/3,455.67 = 1,381.75/x
  3. Step 3: Cross multiply
    2,305.53x = 3,455.67 × 1,381.75
  4. Step 4: Simplify right side
    2,305.53x = 4,774,863.38
  5. Step 5: Solve for x
    x = 4,774,863.38/2,305.53
  6. Step 6: Final answer
    x = 2,071.05

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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.