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Finding the Fourth Proportional to 2,717.70, 4,078.98 and 1,420.08

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Solution

The fourth proportional to 2,717.70, 4,078.98 and 1,420.08 is: 2,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.70 : 4,078.98 = 1,420.08 : x
  2. Step 2: Convert to fraction form
    2,717.70/4,078.98 = 1,420.08/x
  3. Step 3: Cross multiply
    2,717.70x = 4,078.98 × 1,420.08
  4. Step 4: Simplify right side
    2,717.70x = 5,792,477.92
  5. Step 5: Solve for x
    x = 5,792,477.92/2,717.70
  6. Step 6: Final answer
    x = 2,131.39

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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.