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Finding the Fourth Proportional to 3,216.96, 4,823.76 and 1,483.68

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Solution

The fourth proportional to 3,216.96, 4,823.76 and 1,483.68 is: 2,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.96 : 4,823.76 = 1,483.68 : x
  2. Step 2: Convert to fraction form
    3,216.96/4,823.76 = 1,483.68/x
  3. Step 3: Cross multiply
    3,216.96x = 4,823.76 × 1,483.68
  4. Step 4: Simplify right side
    3,216.96x = 7,156,916.24
  5. Step 5: Solve for x
    x = 7,156,916.24/3,216.96
  6. Step 6: Final answer
    x = 2,224.75

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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.