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Finding the Fourth Proportional to 1,219.84, 1,673.12 and 1,129.12

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Solution

The fourth proportional to 1,219.84, 1,673.12 and 1,129.12 is: 1,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.84 : 1,673.12 = 1,129.12 : x
  2. Step 2: Convert to fraction form
    1,219.84/1,673.12 = 1,129.12/x
  3. Step 3: Cross multiply
    1,219.84x = 1,673.12 × 1,129.12
  4. Step 4: Simplify right side
    1,219.84x = 1,889,153.25
  5. Step 5: Solve for x
    x = 1,889,153.25/1,219.84
  6. Step 6: Final answer
    x = 1,548.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.