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Finding the Fourth Proportional to 2,453.69, 3,680.43 and 604.77

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Solution

The fourth proportional to 2,453.69, 3,680.43 and 604.77 is: 907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.69 : 3,680.43 = 604.77 : x
  2. Step 2: Convert to fraction form
    2,453.69/3,680.43 = 604.77/x
  3. Step 3: Cross multiply
    2,453.69x = 3,680.43 × 604.77
  4. Step 4: Simplify right side
    2,453.69x = 2,225,813.65
  5. Step 5: Solve for x
    x = 2,225,813.65/2,453.69
  6. Step 6: Final answer
    x = 907.13

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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.