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Finding the Fourth Proportional to 4,742.70, 7,114 and 1,232.70

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Solution

The fourth proportional to 4,742.70, 7,114 and 1,232.70 is: 1,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.70 : 7,114 = 1,232.70 : x
  2. Step 2: Convert to fraction form
    4,742.70/7,114 = 1,232.70/x
  3. Step 3: Cross multiply
    4,742.70x = 7,114 × 1,232.70
  4. Step 4: Simplify right side
    4,742.70x = 8,769,427.80
  5. Step 5: Solve for x
    x = 8,769,427.80/4,742.70
  6. Step 6: Final answer
    x = 1,849.04

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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.