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Finding the Fourth Proportional to 2,418.64, 3,628.04 and 1,762.52

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Solution

The fourth proportional to 2,418.64, 3,628.04 and 1,762.52 is: 2,643.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.64 : 3,628.04 = 1,762.52 : x
  2. Step 2: Convert to fraction form
    2,418.64/3,628.04 = 1,762.52/x
  3. Step 3: Cross multiply
    2,418.64x = 3,628.04 × 1,762.52
  4. Step 4: Simplify right side
    2,418.64x = 6,394,493.06
  5. Step 5: Solve for x
    x = 6,394,493.06/2,418.64
  6. Step 6: Final answer
    x = 2,643.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.