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Finding the Fourth Proportional to 2,017.77, 3,026.30 and 556.56

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Solution

The fourth proportional to 2,017.77, 3,026.30 and 556.56 is: 834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.77 : 3,026.30 = 556.56 : x
  2. Step 2: Convert to fraction form
    2,017.77/3,026.30 = 556.56/x
  3. Step 3: Cross multiply
    2,017.77x = 3,026.30 × 556.56
  4. Step 4: Simplify right side
    2,017.77x = 1,684,322.31
  5. Step 5: Solve for x
    x = 1,684,322.31/2,017.77
  6. Step 6: Final answer
    x = 834.74

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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.