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Finding the Fourth Proportional to 1,911.91, 2,868.69 and 742.72

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Solution

The fourth proportional to 1,911.91, 2,868.69 and 742.72 is: 1,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.91 : 2,868.69 = 742.72 : x
  2. Step 2: Convert to fraction form
    1,911.91/2,868.69 = 742.72/x
  3. Step 3: Cross multiply
    1,911.91x = 2,868.69 × 742.72
  4. Step 4: Simplify right side
    1,911.91x = 2,130,633.44
  5. Step 5: Solve for x
    x = 2,130,633.44/1,911.91
  6. Step 6: Final answer
    x = 1,114.40

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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.