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Finding the Fourth Proportional to 2,002.54, 2,763.62 and 1,106.28

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Solution

The fourth proportional to 2,002.54, 2,763.62 and 1,106.28 is: 1,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.54 : 2,763.62 = 1,106.28 : x
  2. Step 2: Convert to fraction form
    2,002.54/2,763.62 = 1,106.28/x
  3. Step 3: Cross multiply
    2,002.54x = 2,763.62 × 1,106.28
  4. Step 4: Simplify right side
    2,002.54x = 3,057,337.53
  5. Step 5: Solve for x
    x = 3,057,337.53/2,002.54
  6. Step 6: Final answer
    x = 1,526.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.