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Finding the Fourth Proportional to 2,017.54, 3,026.66 and 922.02

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Solution

The fourth proportional to 2,017.54, 3,026.66 and 922.02 is: 1,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.54 : 3,026.66 = 922.02 : x
  2. Step 2: Convert to fraction form
    2,017.54/3,026.66 = 922.02/x
  3. Step 3: Cross multiply
    2,017.54x = 3,026.66 × 922.02
  4. Step 4: Simplify right side
    2,017.54x = 2,790,641.05
  5. Step 5: Solve for x
    x = 2,790,641.05/2,017.54
  6. Step 6: Final answer
    x = 1,383.19

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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.