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Finding the Fourth Proportional to 2,017.14, 3,025.92 and 556.32

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Solution

The fourth proportional to 2,017.14, 3,025.92 and 556.32 is: 834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.14 : 3,025.92 = 556.32 : x
  2. Step 2: Convert to fraction form
    2,017.14/3,025.92 = 556.32/x
  3. Step 3: Cross multiply
    2,017.14x = 3,025.92 × 556.32
  4. Step 4: Simplify right side
    2,017.14x = 1,683,379.81
  5. Step 5: Solve for x
    x = 1,683,379.81/2,017.14
  6. Step 6: Final answer
    x = 834.54

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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.