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Finding the Fourth Proportional to 1,882.39, 2,595.64 and 1,284.94

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Solution

The fourth proportional to 1,882.39, 2,595.64 and 1,284.94 is: 1,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.39 : 2,595.64 = 1,284.94 : x
  2. Step 2: Convert to fraction form
    1,882.39/2,595.64 = 1,284.94/x
  3. Step 3: Cross multiply
    1,882.39x = 2,595.64 × 1,284.94
  4. Step 4: Simplify right side
    1,882.39x = 3,335,241.66
  5. Step 5: Solve for x
    x = 3,335,241.66/1,882.39
  6. Step 6: Final answer
    x = 1,771.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.