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Finding the Fourth Proportional to 1,419.56, 2,129.28 and 379.54

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Solution

The fourth proportional to 1,419.56, 2,129.28 and 379.54 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.56 : 2,129.28 = 379.54 : x
  2. Step 2: Convert to fraction form
    1,419.56/2,129.28 = 379.54/x
  3. Step 3: Cross multiply
    1,419.56x = 2,129.28 × 379.54
  4. Step 4: Simplify right side
    1,419.56x = 808,146.93
  5. Step 5: Solve for x
    x = 808,146.93/1,419.56
  6. Step 6: Final answer
    x = 569.29

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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.