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Finding the Fourth Proportional to 3,417, 4,715.46 and 2,019.76

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Solution

The fourth proportional to 3,417, 4,715.46 and 2,019.76 is: 2,787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 4,715.46 = 2,019.76 : x
  2. Step 2: Convert to fraction form
    3,417/4,715.46 = 2,019.76/x
  3. Step 3: Cross multiply
    3,417x = 4,715.46 × 2,019.76
  4. Step 4: Simplify right side
    3,417x = 9,524,097.49
  5. Step 5: Solve for x
    x = 9,524,097.49/3,417
  6. Step 6: Final answer
    x = 2,787.27

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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.