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Finding the Fourth Proportional to 2,026.89, 3,038.85 and 793.67

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Solution

The fourth proportional to 2,026.89, 3,038.85 and 793.67 is: 1,189.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.89 : 3,038.85 = 793.67 : x
  2. Step 2: Convert to fraction form
    2,026.89/3,038.85 = 793.67/x
  3. Step 3: Cross multiply
    2,026.89x = 3,038.85 × 793.67
  4. Step 4: Simplify right side
    2,026.89x = 2,411,844.08
  5. Step 5: Solve for x
    x = 2,411,844.08/2,026.89
  6. Step 6: Final answer
    x = 1,189.92

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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.