Home / 1,985.81-2,976.84-1,821.78

Finding the Fourth Proportional to 1,985.81, 2,976.84 and 1,821.78

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Solution

The fourth proportional to 1,985.81, 2,976.84 and 1,821.78 is: 2,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.81 : 2,976.84 = 1,821.78 : x
  2. Step 2: Convert to fraction form
    1,985.81/2,976.84 = 1,821.78/x
  3. Step 3: Cross multiply
    1,985.81x = 2,976.84 × 1,821.78
  4. Step 4: Simplify right side
    1,985.81x = 5,423,147.58
  5. Step 5: Solve for x
    x = 5,423,147.58/1,985.81
  6. Step 6: Final answer
    x = 2,730.96

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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.