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Finding the Fourth Proportional to 2,080,676, 3,121,014 and 584,768

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Solution

The fourth proportional to 2,080,676, 3,121,014 and 584,768 is: 877,152

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,676 : 3,121,014 = 584,768 : x
  2. Step 2: Convert to fraction form
    2,080,676/3,121,014 = 584,768/x
  3. Step 3: Cross multiply
    2,080,676x = 3,121,014 × 584,768
  4. Step 4: Simplify right side
    2,080,676x = 1,825,069,114,752
  5. Step 5: Solve for x
    x = 1,825,069,114,752/2,080,676
  6. Step 6: Final answer
    x = 877,152

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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.