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Finding the Fourth Proportional to 1,237.40, 1,841.96 and 1,218.94

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Solution

The fourth proportional to 1,237.40, 1,841.96 and 1,218.94 is: 1,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.40 : 1,841.96 = 1,218.94 : x
  2. Step 2: Convert to fraction form
    1,237.40/1,841.96 = 1,218.94/x
  3. Step 3: Cross multiply
    1,237.40x = 1,841.96 × 1,218.94
  4. Step 4: Simplify right side
    1,237.40x = 2,245,238.72
  5. Step 5: Solve for x
    x = 2,245,238.72/1,237.40
  6. Step 6: Final answer
    x = 1,814.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.