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Finding the Fourth Proportional to 2,284.80, 3,153.12 and 1,290.12

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Solution

The fourth proportional to 2,284.80, 3,153.12 and 1,290.12 is: 1,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.80 : 3,153.12 = 1,290.12 : x
  2. Step 2: Convert to fraction form
    2,284.80/3,153.12 = 1,290.12/x
  3. Step 3: Cross multiply
    2,284.80x = 3,153.12 × 1,290.12
  4. Step 4: Simplify right side
    2,284.80x = 4,067,903.17
  5. Step 5: Solve for x
    x = 4,067,903.17/2,284.80
  6. Step 6: Final answer
    x = 1,780.42

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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.