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Finding the Fourth Proportional to 2,002.59, 2,763.54 and 1,106.38

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Solution

The fourth proportional to 2,002.59, 2,763.54 and 1,106.38 is: 1,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.59 : 2,763.54 = 1,106.38 : x
  2. Step 2: Convert to fraction form
    2,002.59/2,763.54 = 1,106.38/x
  3. Step 3: Cross multiply
    2,002.59x = 2,763.54 × 1,106.38
  4. Step 4: Simplify right side
    2,002.59x = 3,057,525.39
  5. Step 5: Solve for x
    x = 3,057,525.39/2,002.59
  6. Step 6: Final answer
    x = 1,526.79

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Why These Related Problems?

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