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Finding the Fourth Proportional to 2,677.12, 3,699.84 and 2,087.04

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Solution

The fourth proportional to 2,677.12, 3,699.84 and 2,087.04 is: 2,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.12 : 3,699.84 = 2,087.04 : x
  2. Step 2: Convert to fraction form
    2,677.12/3,699.84 = 2,087.04/x
  3. Step 3: Cross multiply
    2,677.12x = 3,699.84 × 2,087.04
  4. Step 4: Simplify right side
    2,677.12x = 7,721,714.07
  5. Step 5: Solve for x
    x = 7,721,714.07/2,677.12
  6. Step 6: Final answer
    x = 2,884.34

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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.