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Finding the Fourth Proportional to 2,465, 3,698.12 and 733.63

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Solution

The fourth proportional to 2,465, 3,698.12 and 733.63 is: 1,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 3,698.12 = 733.63 : x
  2. Step 2: Convert to fraction form
    2,465/3,698.12 = 733.63/x
  3. Step 3: Cross multiply
    2,465x = 3,698.12 × 733.63
  4. Step 4: Simplify right side
    2,465x = 2,713,051.78
  5. Step 5: Solve for x
    x = 2,713,051.78/2,465
  6. Step 6: Final answer
    x = 1,100.63

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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.