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Finding the Fourth Proportional to 2,080,674, 3,121,011 and 584,766

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Solution

The fourth proportional to 2,080,674, 3,121,011 and 584,766 is: 877,149

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,674 : 3,121,011 = 584,766 : x
  2. Step 2: Convert to fraction form
    2,080,674/3,121,011 = 584,766/x
  3. Step 3: Cross multiply
    2,080,674x = 3,121,011 × 584,766
  4. Step 4: Simplify right side
    2,080,674x = 1,825,061,118,426
  5. Step 5: Solve for x
    x = 1,825,061,118,426/2,080,674
  6. Step 6: Final answer
    x = 877,149

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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.