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Finding the Fourth Proportional to 3,212.48, 4,823.20 and 1,653.80

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Solution

The fourth proportional to 3,212.48, 4,823.20 and 1,653.80 is: 2,483.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.48 : 4,823.20 = 1,653.80 : x
  2. Step 2: Convert to fraction form
    3,212.48/4,823.20 = 1,653.80/x
  3. Step 3: Cross multiply
    3,212.48x = 4,823.20 × 1,653.80
  4. Step 4: Simplify right side
    3,212.48x = 7,976,608.16
  5. Step 5: Solve for x
    x = 7,976,608.16/3,212.48
  6. Step 6: Final answer
    x = 2,483.01

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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.