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Finding the Fourth Proportional to 2,424.48, 3,644.16 and 1,783.20

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Solution

The fourth proportional to 2,424.48, 3,644.16 and 1,783.20 is: 2,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.48 : 3,644.16 = 1,783.20 : x
  2. Step 2: Convert to fraction form
    2,424.48/3,644.16 = 1,783.20/x
  3. Step 3: Cross multiply
    2,424.48x = 3,644.16 × 1,783.20
  4. Step 4: Simplify right side
    2,424.48x = 6,498,266.11
  5. Step 5: Solve for x
    x = 6,498,266.11/2,424.48
  6. Step 6: Final answer
    x = 2,680.27

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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.