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Finding the Fourth Proportional to 2,030.51, 3,043.94 and 731.67

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Solution

The fourth proportional to 2,030.51, 3,043.94 and 731.67 is: 1,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.51 : 3,043.94 = 731.67 : x
  2. Step 2: Convert to fraction form
    2,030.51/3,043.94 = 731.67/x
  3. Step 3: Cross multiply
    2,030.51x = 3,043.94 × 731.67
  4. Step 4: Simplify right side
    2,030.51x = 2,227,155.92
  5. Step 5: Solve for x
    x = 2,227,155.92/2,030.51
  6. Step 6: Final answer
    x = 1,096.85

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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.