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Finding the Fourth Proportional to 3,073.81, 4,611.40 and 882.37

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Solution

The fourth proportional to 3,073.81, 4,611.40 and 882.37 is: 1,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.81 : 4,611.40 = 882.37 : x
  2. Step 2: Convert to fraction form
    3,073.81/4,611.40 = 882.37/x
  3. Step 3: Cross multiply
    3,073.81x = 4,611.40 × 882.37
  4. Step 4: Simplify right side
    3,073.81x = 4,068,961.02
  5. Step 5: Solve for x
    x = 4,068,961.02/3,073.81
  6. Step 6: Final answer
    x = 1,323.75

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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.