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Finding the Fourth Proportional to 2,017.54, 3,026.32 and 556.77

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Solution

The fourth proportional to 2,017.54, 3,026.32 and 556.77 is: 835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.54 : 3,026.32 = 556.77 : x
  2. Step 2: Convert to fraction form
    2,017.54/3,026.32 = 556.77/x
  3. Step 3: Cross multiply
    2,017.54x = 3,026.32 × 556.77
  4. Step 4: Simplify right side
    2,017.54x = 1,684,949.05
  5. Step 5: Solve for x
    x = 1,684,949.05/2,017.54
  6. Step 6: Final answer
    x = 835.15

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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.