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Finding the Fourth Proportional to 3,428.72, 4,731 and 2,012.84

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Solution

The fourth proportional to 3,428.72, 4,731 and 2,012.84 is: 2,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.72 : 4,731 = 2,012.84 : x
  2. Step 2: Convert to fraction form
    3,428.72/4,731 = 2,012.84/x
  3. Step 3: Cross multiply
    3,428.72x = 4,731 × 2,012.84
  4. Step 4: Simplify right side
    3,428.72x = 9,522,746.04
  5. Step 5: Solve for x
    x = 9,522,746.04/3,428.72
  6. Step 6: Final answer
    x = 2,777.35

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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.