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Finding the Fourth Proportional to 1,284, 1,926 and 1,209.52

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Solution

The fourth proportional to 1,284, 1,926 and 1,209.52 is: 1,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,926 = 1,209.52 : x
  2. Step 2: Convert to fraction form
    1,284/1,926 = 1,209.52/x
  3. Step 3: Cross multiply
    1,284x = 1,926 × 1,209.52
  4. Step 4: Simplify right side
    1,284x = 2,329,535.52
  5. Step 5: Solve for x
    x = 2,329,535.52/1,284
  6. Step 6: Final answer
    x = 1,814.28

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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.