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Finding the Fourth Proportional to 2,994.71, 4,128.42 and 2,107.76

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Solution

The fourth proportional to 2,994.71, 4,128.42 and 2,107.76 is: 2,905.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.71 : 4,128.42 = 2,107.76 : x
  2. Step 2: Convert to fraction form
    2,994.71/4,128.42 = 2,107.76/x
  3. Step 3: Cross multiply
    2,994.71x = 4,128.42 × 2,107.76
  4. Step 4: Simplify right side
    2,994.71x = 8,701,718.54
  5. Step 5: Solve for x
    x = 8,701,718.54/2,994.71
  6. Step 6: Final answer
    x = 2,905.70

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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.