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Finding the Fourth Proportional to 4,626.75, 6,940.13 and 1,164

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Solution

The fourth proportional to 4,626.75, 6,940.13 and 1,164 is: 1,746

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.75 : 6,940.13 = 1,164 : x
  2. Step 2: Convert to fraction form
    4,626.75/6,940.13 = 1,164/x
  3. Step 3: Cross multiply
    4,626.75x = 6,940.13 × 1,164
  4. Step 4: Simplify right side
    4,626.75x = 8,078,305.50
  5. Step 5: Solve for x
    x = 8,078,305.50/4,626.75
  6. Step 6: Final answer
    x = 1,746

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.