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Finding the Fourth Proportional to 3,094.65, 4,640.76 and 1,014.17

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Solution

The fourth proportional to 3,094.65, 4,640.76 and 1,014.17 is: 1,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.65 : 4,640.76 = 1,014.17 : x
  2. Step 2: Convert to fraction form
    3,094.65/4,640.76 = 1,014.17/x
  3. Step 3: Cross multiply
    3,094.65x = 4,640.76 × 1,014.17
  4. Step 4: Simplify right side
    3,094.65x = 4,706,496.37
  5. Step 5: Solve for x
    x = 4,706,496.37/3,094.65
  6. Step 6: Final answer
    x = 1,520.85

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1.5x scale

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.