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Finding the Fourth Proportional to 2,002.70, 2,763.84 and 1,118.49

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Solution

The fourth proportional to 2,002.70, 2,763.84 and 1,118.49 is: 1,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.70 : 2,763.84 = 1,118.49 : x
  2. Step 2: Convert to fraction form
    2,002.70/2,763.84 = 1,118.49/x
  3. Step 3: Cross multiply
    2,002.70x = 2,763.84 × 1,118.49
  4. Step 4: Simplify right side
    2,002.70x = 3,091,327.40
  5. Step 5: Solve for x
    x = 3,091,327.40/2,002.70
  6. Step 6: Final answer
    x = 1,543.58

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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.