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Finding the Fourth Proportional to 2,135.07, 2,942.46 and 1,544.58

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Solution

The fourth proportional to 2,135.07, 2,942.46 and 1,544.58 is: 2,128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.07 : 2,942.46 = 1,544.58 : x
  2. Step 2: Convert to fraction form
    2,135.07/2,942.46 = 1,544.58/x
  3. Step 3: Cross multiply
    2,135.07x = 2,942.46 × 1,544.58
  4. Step 4: Simplify right side
    2,135.07x = 4,544,864.87
  5. Step 5: Solve for x
    x = 4,544,864.87/2,135.07
  6. Step 6: Final answer
    x = 2,128.67

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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.