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Finding the Fourth Proportional to 4,640.76, 6,961.54 and 1,178

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Solution

The fourth proportional to 4,640.76, 6,961.54 and 1,178 is: 1,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.76 : 6,961.54 = 1,178 : x
  2. Step 2: Convert to fraction form
    4,640.76/6,961.54 = 1,178/x
  3. Step 3: Cross multiply
    4,640.76x = 6,961.54 × 1,178
  4. Step 4: Simplify right side
    4,640.76x = 8,200,694.12
  5. Step 5: Solve for x
    x = 8,200,694.12/4,640.76
  6. Step 6: Final answer
    x = 1,767.10

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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.