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Finding the Fourth Proportional to 2,582.42, 3,563.52 and 1,520.22

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Solution

The fourth proportional to 2,582.42, 3,563.52 and 1,520.22 is: 2,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.42 : 3,563.52 = 1,520.22 : x
  2. Step 2: Convert to fraction form
    2,582.42/3,563.52 = 1,520.22/x
  3. Step 3: Cross multiply
    2,582.42x = 3,563.52 × 1,520.22
  4. Step 4: Simplify right side
    2,582.42x = 5,417,334.37
  5. Step 5: Solve for x
    x = 5,417,334.37/2,582.42
  6. Step 6: Final answer
    x = 2,097.78

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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.