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Finding the Fourth Proportional to 2,424.52, 3,634.48 and 1,830.63

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Solution

The fourth proportional to 2,424.52, 3,634.48 and 1,830.63 is: 2,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.52 : 3,634.48 = 1,830.63 : x
  2. Step 2: Convert to fraction form
    2,424.52/3,634.48 = 1,830.63/x
  3. Step 3: Cross multiply
    2,424.52x = 3,634.48 × 1,830.63
  4. Step 4: Simplify right side
    2,424.52x = 6,653,388.12
  5. Step 5: Solve for x
    x = 6,653,388.12/2,424.52
  6. Step 6: Final answer
    x = 2,744.21

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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.