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Finding the Fourth Proportional to 2,619.23, 3,928.77 and 644.87

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Solution

The fourth proportional to 2,619.23, 3,928.77 and 644.87 is: 967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.23 : 3,928.77 = 644.87 : x
  2. Step 2: Convert to fraction form
    2,619.23/3,928.77 = 644.87/x
  3. Step 3: Cross multiply
    2,619.23x = 3,928.77 × 644.87
  4. Step 4: Simplify right side
    2,619.23x = 2,533,526.27
  5. Step 5: Solve for x
    x = 2,533,526.27/2,619.23
  6. Step 6: Final answer
    x = 967.28

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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.