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Finding the Fourth Proportional to 2,783,692, 4,175,538 and 682,444

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Solution

The fourth proportional to 2,783,692, 4,175,538 and 682,444 is: 1,023,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,692 : 4,175,538 = 682,444 : x
  2. Step 2: Convert to fraction form
    2,783,692/4,175,538 = 682,444/x
  3. Step 3: Cross multiply
    2,783,692x = 4,175,538 × 682,444
  4. Step 4: Simplify right side
    2,783,692x = 2,849,570,854,872
  5. Step 5: Solve for x
    x = 2,849,570,854,872/2,783,692
  6. Step 6: Final answer
    x = 1,023,666

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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.