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Finding the Fourth Proportional to 1,917.01, 2,874.45 and 746.29

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Solution

The fourth proportional to 1,917.01, 2,874.45 and 746.29 is: 1,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.01 : 2,874.45 = 746.29 : x
  2. Step 2: Convert to fraction form
    1,917.01/2,874.45 = 746.29/x
  3. Step 3: Cross multiply
    1,917.01x = 2,874.45 × 746.29
  4. Step 4: Simplify right side
    1,917.01x = 2,145,173.29
  5. Step 5: Solve for x
    x = 2,145,173.29/1,917.01
  6. Step 6: Final answer
    x = 1,119.02

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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.