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Finding the Fourth Proportional to 1,965,182.22, 2,946,020.16 and 766,825.80

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Solution

The fourth proportional to 1,965,182.22, 2,946,020.16 and 766,825.80 is: 1,149,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,182.22 : 2,946,020.16 = 766,825.80 : x
  2. Step 2: Convert to fraction form
    1,965,182.22/2,946,020.16 = 766,825.80/x
  3. Step 3: Cross multiply
    1,965,182.22x = 2,946,020.16 × 766,825.80
  4. Step 4: Simplify right side
    1,965,182.22x = 2,259,084,266,008.13
  5. Step 5: Solve for x
    x = 2,259,084,266,008.13/1,965,182.22
  6. Step 6: Final answer
    x = 1,149,554.60

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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.