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Finding the Fourth Proportional to 1,292.58, 1,942.11 and 1,214.82

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Solution

The fourth proportional to 1,292.58, 1,942.11 and 1,214.82 is: 1,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.58 : 1,942.11 = 1,214.82 : x
  2. Step 2: Convert to fraction form
    1,292.58/1,942.11 = 1,214.82/x
  3. Step 3: Cross multiply
    1,292.58x = 1,942.11 × 1,214.82
  4. Step 4: Simplify right side
    1,292.58x = 2,359,314.07
  5. Step 5: Solve for x
    x = 2,359,314.07/1,292.58
  6. Step 6: Final answer
    x = 1,825.28

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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.