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Finding the Fourth Proportional to 2,465, 3,694.32 and 1,002.44

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Solution

The fourth proportional to 2,465, 3,694.32 and 1,002.44 is: 1,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465 : 3,694.32 = 1,002.44 : x
  2. Step 2: Convert to fraction form
    2,465/3,694.32 = 1,002.44/x
  3. Step 3: Cross multiply
    2,465x = 3,694.32 × 1,002.44
  4. Step 4: Simplify right side
    2,465x = 3,703,334.14
  5. Step 5: Solve for x
    x = 3,703,334.14/2,465
  6. Step 6: Final answer
    x = 1,502.37

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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.