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Finding the Fourth Proportional to 2,928.03, 4,384.94 and 1,609.77

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Solution

The fourth proportional to 2,928.03, 4,384.94 and 1,609.77 is: 2,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.03 : 4,384.94 = 1,609.77 : x
  2. Step 2: Convert to fraction form
    2,928.03/4,384.94 = 1,609.77/x
  3. Step 3: Cross multiply
    2,928.03x = 4,384.94 × 1,609.77
  4. Step 4: Simplify right side
    2,928.03x = 7,058,736.81
  5. Step 5: Solve for x
    x = 7,058,736.81/2,928.03
  6. Step 6: Final answer
    x = 2,410.75

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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.