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Finding the Fourth Proportional to 2,307.50, 3,458.67 and 920.48

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Solution

The fourth proportional to 2,307.50, 3,458.67 and 920.48 is: 1,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.50 : 3,458.67 = 920.48 : x
  2. Step 2: Convert to fraction form
    2,307.50/3,458.67 = 920.48/x
  3. Step 3: Cross multiply
    2,307.50x = 3,458.67 × 920.48
  4. Step 4: Simplify right side
    2,307.50x = 3,183,619.27
  5. Step 5: Solve for x
    x = 3,183,619.27/2,307.50
  6. Step 6: Final answer
    x = 1,379.69

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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.