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Finding the Fourth Proportional to 2,465,930, 3,698,895 and 693,002

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Solution

The fourth proportional to 2,465,930, 3,698,895 and 693,002 is: 1,039,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465,930 : 3,698,895 = 693,002 : x
  2. Step 2: Convert to fraction form
    2,465,930/3,698,895 = 693,002/x
  3. Step 3: Cross multiply
    2,465,930x = 3,698,895 × 693,002
  4. Step 4: Simplify right side
    2,465,930x = 2,563,341,632,790
  5. Step 5: Solve for x
    x = 2,563,341,632,790/2,465,930
  6. Step 6: Final answer
    x = 1,039,503

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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.