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Finding the Fourth Proportional to 2,913.77, 4,021.63 and 1,919.14

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Solution

The fourth proportional to 2,913.77, 4,021.63 and 1,919.14 is: 2,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.77 : 4,021.63 = 1,919.14 : x
  2. Step 2: Convert to fraction form
    2,913.77/4,021.63 = 1,919.14/x
  3. Step 3: Cross multiply
    2,913.77x = 4,021.63 × 1,919.14
  4. Step 4: Simplify right side
    2,913.77x = 7,718,056.15
  5. Step 5: Solve for x
    x = 7,718,056.15/2,913.77
  6. Step 6: Final answer
    x = 2,648.82

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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.