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Finding the Fourth Proportional to 1,758.08, 2,638.72 and 1,213.76

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Solution

The fourth proportional to 1,758.08, 2,638.72 and 1,213.76 is: 1,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.08 : 2,638.72 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    1,758.08/2,638.72 = 1,213.76/x
  3. Step 3: Cross multiply
    1,758.08x = 2,638.72 × 1,213.76
  4. Step 4: Simplify right side
    1,758.08x = 3,202,772.79
  5. Step 5: Solve for x
    x = 3,202,772.79/1,758.08
  6. Step 6: Final answer
    x = 1,821.74

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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.