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Finding the Fourth Proportional to 2,561.76, 3,535.92 and 1,514.52

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Solution

The fourth proportional to 2,561.76, 3,535.92 and 1,514.52 is: 2,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.76 : 3,535.92 = 1,514.52 : x
  2. Step 2: Convert to fraction form
    2,561.76/3,535.92 = 1,514.52/x
  3. Step 3: Cross multiply
    2,561.76x = 3,535.92 × 1,514.52
  4. Step 4: Simplify right side
    2,561.76x = 5,355,221.56
  5. Step 5: Solve for x
    x = 5,355,221.56/2,561.76
  6. Step 6: Final answer
    x = 2,090.45

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