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Finding the Fourth Proportional to 2,352.38, 3,529.10 and 813.38

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Solution

The fourth proportional to 2,352.38, 3,529.10 and 813.38 is: 1,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.38 : 3,529.10 = 813.38 : x
  2. Step 2: Convert to fraction form
    2,352.38/3,529.10 = 813.38/x
  3. Step 3: Cross multiply
    2,352.38x = 3,529.10 × 813.38
  4. Step 4: Simplify right side
    2,352.38x = 2,870,483.75
  5. Step 5: Solve for x
    x = 2,870,483.75/2,352.38
  6. Step 6: Final answer
    x = 1,220.25

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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.