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Finding the Fourth Proportional to 2,058.38, 2,841.28 and 1,230.38

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Solution

The fourth proportional to 2,058.38, 2,841.28 and 1,230.38 is: 1,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.38 : 2,841.28 = 1,230.38 : x
  2. Step 2: Convert to fraction form
    2,058.38/2,841.28 = 1,230.38/x
  3. Step 3: Cross multiply
    2,058.38x = 2,841.28 × 1,230.38
  4. Step 4: Simplify right side
    2,058.38x = 3,495,836.80
  5. Step 5: Solve for x
    x = 3,495,836.80/2,058.38
  6. Step 6: Final answer
    x = 1,698.35

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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.