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Finding the Fourth Proportional to 3,152.56, 4,349.92 and 2,104

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Solution

The fourth proportional to 3,152.56, 4,349.92 and 2,104 is: 2,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.56 : 4,349.92 = 2,104 : x
  2. Step 2: Convert to fraction form
    3,152.56/4,349.92 = 2,104/x
  3. Step 3: Cross multiply
    3,152.56x = 4,349.92 × 2,104
  4. Step 4: Simplify right side
    3,152.56x = 9,152,231.68
  5. Step 5: Solve for x
    x = 9,152,231.68/3,152.56
  6. Step 6: Final answer
    x = 2,903.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.