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Finding the Fourth Proportional to 3,253.83, 4,880.71 and 788.68

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Solution

The fourth proportional to 3,253.83, 4,880.71 and 788.68 is: 1,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.83 : 4,880.71 = 788.68 : x
  2. Step 2: Convert to fraction form
    3,253.83/4,880.71 = 788.68/x
  3. Step 3: Cross multiply
    3,253.83x = 4,880.71 × 788.68
  4. Step 4: Simplify right side
    3,253.83x = 3,849,295.04
  5. Step 5: Solve for x
    x = 3,849,295.04/3,253.83
  6. Step 6: Final answer
    x = 1,183.00

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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.