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Finding the Fourth Proportional to 1,886,891.78, 2,827,815.33 and 687,686.78

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Solution

The fourth proportional to 1,886,891.78, 2,827,815.33 and 687,686.78 is: 1,030,610.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,891.78 : 2,827,815.33 = 687,686.78 : x
  2. Step 2: Convert to fraction form
    1,886,891.78/2,827,815.33 = 687,686.78/x
  3. Step 3: Cross multiply
    1,886,891.78x = 2,827,815.33 × 687,686.78
  4. Step 4: Simplify right side
    1,886,891.78x = 1,944,651,218,722.34
  5. Step 5: Solve for x
    x = 1,944,651,218,722.34/1,886,891.78
  6. Step 6: Final answer
    x = 1,030,610.89

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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.