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Finding the Fourth Proportional to 2,580.75, 3,559.82 and 2,058.03

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Solution

The fourth proportional to 2,580.75, 3,559.82 and 2,058.03 is: 2,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.75 : 3,559.82 = 2,058.03 : x
  2. Step 2: Convert to fraction form
    2,580.75/3,559.82 = 2,058.03/x
  3. Step 3: Cross multiply
    2,580.75x = 3,559.82 × 2,058.03
  4. Step 4: Simplify right side
    2,580.75x = 7,326,206.06
  5. Step 5: Solve for x
    x = 7,326,206.06/2,580.75
  6. Step 6: Final answer
    x = 2,838.79

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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.