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Finding the Fourth Proportional to 1,229.90, 1,842.14 and 953.84

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Solution

The fourth proportional to 1,229.90, 1,842.14 and 953.84 is: 1,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.90 : 1,842.14 = 953.84 : x
  2. Step 2: Convert to fraction form
    1,229.90/1,842.14 = 953.84/x
  3. Step 3: Cross multiply
    1,229.90x = 1,842.14 × 953.84
  4. Step 4: Simplify right side
    1,229.90x = 1,757,106.82
  5. Step 5: Solve for x
    x = 1,757,106.82/1,229.90
  6. Step 6: Final answer
    x = 1,428.66

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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.