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Finding the Fourth Proportional to 2,678.54, 4,018.41 and 947.17

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Solution

The fourth proportional to 2,678.54, 4,018.41 and 947.17 is: 1,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.54 : 4,018.41 = 947.17 : x
  2. Step 2: Convert to fraction form
    2,678.54/4,018.41 = 947.17/x
  3. Step 3: Cross multiply
    2,678.54x = 4,018.41 × 947.17
  4. Step 4: Simplify right side
    2,678.54x = 3,806,107.35
  5. Step 5: Solve for x
    x = 3,806,107.35/2,678.54
  6. Step 6: Final answer
    x = 1,420.96

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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.