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Finding the Fourth Proportional to 1,914.29, 2,871.44 and 616.67

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Solution

The fourth proportional to 1,914.29, 2,871.44 and 616.67 is: 925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.29 : 2,871.44 = 616.67 : x
  2. Step 2: Convert to fraction form
    1,914.29/2,871.44 = 616.67/x
  3. Step 3: Cross multiply
    1,914.29x = 2,871.44 × 616.67
  4. Step 4: Simplify right side
    1,914.29x = 1,770,730.90
  5. Step 5: Solve for x
    x = 1,770,730.90/1,914.29
  6. Step 6: Final answer
    x = 925.01

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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.