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Finding the Fourth Proportional to 3,039.60, 4,193.28 and 1,919.76

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Solution

The fourth proportional to 3,039.60, 4,193.28 and 1,919.76 is: 2,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.60 : 4,193.28 = 1,919.76 : x
  2. Step 2: Convert to fraction form
    3,039.60/4,193.28 = 1,919.76/x
  3. Step 3: Cross multiply
    3,039.60x = 4,193.28 × 1,919.76
  4. Step 4: Simplify right side
    3,039.60x = 8,050,091.21
  5. Step 5: Solve for x
    x = 8,050,091.21/3,039.60
  6. Step 6: Final answer
    x = 2,648.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.