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Finding the Fourth Proportional to 2,002.19, 2,763.04 and 1,118.05

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Solution

The fourth proportional to 2,002.19, 2,763.04 and 1,118.05 is: 1,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.19 : 2,763.04 = 1,118.05 : x
  2. Step 2: Convert to fraction form
    2,002.19/2,763.04 = 1,118.05/x
  3. Step 3: Cross multiply
    2,002.19x = 2,763.04 × 1,118.05
  4. Step 4: Simplify right side
    2,002.19x = 3,089,216.87
  5. Step 5: Solve for x
    x = 3,089,216.87/2,002.19
  6. Step 6: Final answer
    x = 1,542.92

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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.