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Finding the Fourth Proportional to 2,017.16, 3,025.74 and 556.42

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Solution

The fourth proportional to 2,017.16, 3,025.74 and 556.42 is: 834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.16 : 3,025.74 = 556.42 : x
  2. Step 2: Convert to fraction form
    2,017.16/3,025.74 = 556.42/x
  3. Step 3: Cross multiply
    2,017.16x = 3,025.74 × 556.42
  4. Step 4: Simplify right side
    2,017.16x = 1,683,582.25
  5. Step 5: Solve for x
    x = 1,683,582.25/2,017.16
  6. Step 6: Final answer
    x = 834.63

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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.