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Finding the Fourth Proportional to 2,562.92, 3,535.42 and 1,514.78

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Solution

The fourth proportional to 2,562.92, 3,535.42 and 1,514.78 is: 2,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.92 : 3,535.42 = 1,514.78 : x
  2. Step 2: Convert to fraction form
    2,562.92/3,535.42 = 1,514.78/x
  3. Step 3: Cross multiply
    2,562.92x = 3,535.42 × 1,514.78
  4. Step 4: Simplify right side
    2,562.92x = 5,355,383.51
  5. Step 5: Solve for x
    x = 5,355,383.51/2,562.92
  6. Step 6: Final answer
    x = 2,089.56

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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.