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Finding the Fourth Proportional to 2,352.84, 3,523.82 and 1,828.60

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Solution

The fourth proportional to 2,352.84, 3,523.82 and 1,828.60 is: 2,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.84 : 3,523.82 = 1,828.60 : x
  2. Step 2: Convert to fraction form
    2,352.84/3,523.82 = 1,828.60/x
  3. Step 3: Cross multiply
    2,352.84x = 3,523.82 × 1,828.60
  4. Step 4: Simplify right side
    2,352.84x = 6,443,657.25
  5. Step 5: Solve for x
    x = 6,443,657.25/2,352.84
  6. Step 6: Final answer
    x = 2,738.67

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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.