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Finding the Fourth Proportional to 2,765,842, 4,148,763 and 664,594

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Solution

The fourth proportional to 2,765,842, 4,148,763 and 664,594 is: 996,891

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,842 : 4,148,763 = 664,594 : x
  2. Step 2: Convert to fraction form
    2,765,842/4,148,763 = 664,594/x
  3. Step 3: Cross multiply
    2,765,842x = 4,148,763 × 664,594
  4. Step 4: Simplify right side
    2,765,842x = 2,757,242,997,222
  5. Step 5: Solve for x
    x = 2,757,242,997,222/2,765,842
  6. Step 6: Final answer
    x = 996,891

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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.