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Finding the Fourth Proportional to 2,361.51, 3,538.58 and 1,494

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Solution

The fourth proportional to 2,361.51, 3,538.58 and 1,494 is: 2,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.51 : 3,538.58 = 1,494 : x
  2. Step 2: Convert to fraction form
    2,361.51/3,538.58 = 1,494/x
  3. Step 3: Cross multiply
    2,361.51x = 3,538.58 × 1,494
  4. Step 4: Simplify right side
    2,361.51x = 5,286,631.05
  5. Step 5: Solve for x
    x = 5,286,631.05/2,361.51
  6. Step 6: Final answer
    x = 2,238.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.