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Finding the Fourth Proportional to 2,058.79, 2,843.61 and 1,498.38

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Solution

The fourth proportional to 2,058.79, 2,843.61 and 1,498.38 is: 2,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.79 : 2,843.61 = 1,498.38 : x
  2. Step 2: Convert to fraction form
    2,058.79/2,843.61 = 1,498.38/x
  3. Step 3: Cross multiply
    2,058.79x = 2,843.61 × 1,498.38
  4. Step 4: Simplify right side
    2,058.79x = 4,260,808.35
  5. Step 5: Solve for x
    x = 4,260,808.35/2,058.79
  6. Step 6: Final answer
    x = 2,069.57

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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.