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Finding the Fourth Proportional to 2,788.48, 4,183.26 and 1,402.12

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Solution

The fourth proportional to 2,788.48, 4,183.26 and 1,402.12 is: 2,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.48 : 4,183.26 = 1,402.12 : x
  2. Step 2: Convert to fraction form
    2,788.48/4,183.26 = 1,402.12/x
  3. Step 3: Cross multiply
    2,788.48x = 4,183.26 × 1,402.12
  4. Step 4: Simplify right side
    2,788.48x = 5,865,432.51
  5. Step 5: Solve for x
    x = 5,865,432.51/2,788.48
  6. Step 6: Final answer
    x = 2,103.45

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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.