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Finding the Fourth Proportional to 2,580.82, 3,561.76 and 1,518.30

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Solution

The fourth proportional to 2,580.82, 3,561.76 and 1,518.30 is: 2,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.82 : 3,561.76 = 1,518.30 : x
  2. Step 2: Convert to fraction form
    2,580.82/3,561.76 = 1,518.30/x
  3. Step 3: Cross multiply
    2,580.82x = 3,561.76 × 1,518.30
  4. Step 4: Simplify right side
    2,580.82x = 5,407,820.21
  5. Step 5: Solve for x
    x = 5,407,820.21/2,580.82
  6. Step 6: Final answer
    x = 2,095.39

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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.