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Finding the Fourth Proportional to 1,924.68, 2,884.14 and 1,780.68

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Solution

The fourth proportional to 1,924.68, 2,884.14 and 1,780.68 is: 2,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.68 : 2,884.14 = 1,780.68 : x
  2. Step 2: Convert to fraction form
    1,924.68/2,884.14 = 1,780.68/x
  3. Step 3: Cross multiply
    1,924.68x = 2,884.14 × 1,780.68
  4. Step 4: Simplify right side
    1,924.68x = 5,135,730.42
  5. Step 5: Solve for x
    x = 5,135,730.42/1,924.68
  6. Step 6: Final answer
    x = 2,668.36

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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.