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Finding the Fourth Proportional to 2,302.89, 3,179.40 and 1,419.90

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Solution

The fourth proportional to 2,302.89, 3,179.40 and 1,419.90 is: 1,960.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.89 : 3,179.40 = 1,419.90 : x
  2. Step 2: Convert to fraction form
    2,302.89/3,179.40 = 1,419.90/x
  3. Step 3: Cross multiply
    2,302.89x = 3,179.40 × 1,419.90
  4. Step 4: Simplify right side
    2,302.89x = 4,514,430.06
  5. Step 5: Solve for x
    x = 4,514,430.06/2,302.89
  6. Step 6: Final answer
    x = 1,960.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.