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Finding the Fourth Proportional to 2,788.40, 4,177.80 and 1,324.40

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Solution

The fourth proportional to 2,788.40, 4,177.80 and 1,324.40 is: 1,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.40 : 4,177.80 = 1,324.40 : x
  2. Step 2: Convert to fraction form
    2,788.40/4,177.80 = 1,324.40/x
  3. Step 3: Cross multiply
    2,788.40x = 4,177.80 × 1,324.40
  4. Step 4: Simplify right side
    2,788.40x = 5,533,078.32
  5. Step 5: Solve for x
    x = 5,533,078.32/2,788.40
  6. Step 6: Final answer
    x = 1,984.32

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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.