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Finding the Fourth Proportional to 2,002.84, 2,764.26 and 1,118.93

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Solution

The fourth proportional to 2,002.84, 2,764.26 and 1,118.93 is: 1,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.84 : 2,764.26 = 1,118.93 : x
  2. Step 2: Convert to fraction form
    2,002.84/2,764.26 = 1,118.93/x
  3. Step 3: Cross multiply
    2,002.84x = 2,764.26 × 1,118.93
  4. Step 4: Simplify right side
    2,002.84x = 3,092,999.62
  5. Step 5: Solve for x
    x = 3,092,999.62/2,002.84
  6. Step 6: Final answer
    x = 1,544.31

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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.