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Finding the Fourth Proportional to 2,002.84, 2,761.42 and 1,531.32

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Solution

The fourth proportional to 2,002.84, 2,761.42 and 1,531.32 is: 2,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.84 : 2,761.42 = 1,531.32 : x
  2. Step 2: Convert to fraction form
    2,002.84/2,761.42 = 1,531.32/x
  3. Step 3: Cross multiply
    2,002.84x = 2,761.42 × 1,531.32
  4. Step 4: Simplify right side
    2,002.84x = 4,228,617.67
  5. Step 5: Solve for x
    x = 4,228,617.67/2,002.84
  6. Step 6: Final answer
    x = 2,111.31

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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.