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Finding the Fourth Proportional to 2,026.74, 3,038.32 and 795.04

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Solution

The fourth proportional to 2,026.74, 3,038.32 and 795.04 is: 1,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.74 : 3,038.32 = 795.04 : x
  2. Step 2: Convert to fraction form
    2,026.74/3,038.32 = 795.04/x
  3. Step 3: Cross multiply
    2,026.74x = 3,038.32 × 795.04
  4. Step 4: Simplify right side
    2,026.74x = 2,415,579.33
  5. Step 5: Solve for x
    x = 2,415,579.33/2,026.74
  6. Step 6: Final answer
    x = 1,191.85

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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.