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Finding the Fourth Proportional to 1,450.96, 2,176.46 and 355.35

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Solution

The fourth proportional to 1,450.96, 2,176.46 and 355.35 is: 533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.96 : 2,176.46 = 355.35 : x
  2. Step 2: Convert to fraction form
    1,450.96/2,176.46 = 355.35/x
  3. Step 3: Cross multiply
    1,450.96x = 2,176.46 × 355.35
  4. Step 4: Simplify right side
    1,450.96x = 773,405.06
  5. Step 5: Solve for x
    x = 773,405.06/1,450.96
  6. Step 6: Final answer
    x = 533.03

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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.