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Finding the Fourth Proportional to 2,313.54, 3,468.33 and 852.39

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Solution

The fourth proportional to 2,313.54, 3,468.33 and 852.39 is: 1,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.54 : 3,468.33 = 852.39 : x
  2. Step 2: Convert to fraction form
    2,313.54/3,468.33 = 852.39/x
  3. Step 3: Cross multiply
    2,313.54x = 3,468.33 × 852.39
  4. Step 4: Simplify right side
    2,313.54x = 2,956,369.81
  5. Step 5: Solve for x
    x = 2,956,369.81/2,313.54
  6. Step 6: Final answer
    x = 1,277.86

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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.