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Finding the Fourth Proportional to 1,281.96, 1,909.71 and 1,202.28

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Solution

The fourth proportional to 1,281.96, 1,909.71 and 1,202.28 is: 1,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.96 : 1,909.71 = 1,202.28 : x
  2. Step 2: Convert to fraction form
    1,281.96/1,909.71 = 1,202.28/x
  3. Step 3: Cross multiply
    1,281.96x = 1,909.71 × 1,202.28
  4. Step 4: Simplify right side
    1,281.96x = 2,296,006.14
  5. Step 5: Solve for x
    x = 2,296,006.14/1,281.96
  6. Step 6: Final answer
    x = 1,791.01

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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.