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Finding the Fourth Proportional to 2,017.04, 3,023.64 and 920.75

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Solution

The fourth proportional to 2,017.04, 3,023.64 and 920.75 is: 1,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.04 : 3,023.64 = 920.75 : x
  2. Step 2: Convert to fraction form
    2,017.04/3,023.64 = 920.75/x
  3. Step 3: Cross multiply
    2,017.04x = 3,023.64 × 920.75
  4. Step 4: Simplify right side
    2,017.04x = 2,784,001.41
  5. Step 5: Solve for x
    x = 2,784,001.41/2,017.04
  6. Step 6: Final answer
    x = 1,380.24

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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.