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Finding the Fourth Proportional to 3,301.84, 4,963.02 and 2,077.12

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Solution

The fourth proportional to 3,301.84, 4,963.02 and 2,077.12 is: 3,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.84 : 4,963.02 = 2,077.12 : x
  2. Step 2: Convert to fraction form
    3,301.84/4,963.02 = 2,077.12/x
  3. Step 3: Cross multiply
    3,301.84x = 4,963.02 × 2,077.12
  4. Step 4: Simplify right side
    3,301.84x = 10,308,788.10
  5. Step 5: Solve for x
    x = 10,308,788.10/3,301.84
  6. Step 6: Final answer
    x = 3,122.13

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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.