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Finding the Fourth Proportional to 2,156.54, 3,235.23 and 769.91

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Solution

The fourth proportional to 2,156.54, 3,235.23 and 769.91 is: 1,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.54 : 3,235.23 = 769.91 : x
  2. Step 2: Convert to fraction form
    2,156.54/3,235.23 = 769.91/x
  3. Step 3: Cross multiply
    2,156.54x = 3,235.23 × 769.91
  4. Step 4: Simplify right side
    2,156.54x = 2,490,819.75
  5. Step 5: Solve for x
    x = 2,490,819.75/2,156.54
  6. Step 6: Final answer
    x = 1,155.01

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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.