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Finding the Fourth Proportional to 2,017.44, 3,026.16 and 556.71

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Solution

The fourth proportional to 2,017.44, 3,026.16 and 556.71 is: 835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.44 : 3,026.16 = 556.71 : x
  2. Step 2: Convert to fraction form
    2,017.44/3,026.16 = 556.71/x
  3. Step 3: Cross multiply
    2,017.44x = 3,026.16 × 556.71
  4. Step 4: Simplify right side
    2,017.44x = 1,684,682.19
  5. Step 5: Solve for x
    x = 1,684,682.19/2,017.44
  6. Step 6: Final answer
    x = 835.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.