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Finding the Fourth Proportional to 1,623.79, 2,435.37 and 453.54

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Solution

The fourth proportional to 1,623.79, 2,435.37 and 453.54 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.79 : 2,435.37 = 453.54 : x
  2. Step 2: Convert to fraction form
    1,623.79/2,435.37 = 453.54/x
  3. Step 3: Cross multiply
    1,623.79x = 2,435.37 × 453.54
  4. Step 4: Simplify right side
    1,623.79x = 1,104,537.71
  5. Step 5: Solve for x
    x = 1,104,537.71/1,623.79
  6. Step 6: Final answer
    x = 680.22

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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.