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Finding the Fourth Proportional to 2,677.17, 4,015.47 and 828.30

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Solution

The fourth proportional to 2,677.17, 4,015.47 and 828.30 is: 1,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.17 : 4,015.47 = 828.30 : x
  2. Step 2: Convert to fraction form
    2,677.17/4,015.47 = 828.30/x
  3. Step 3: Cross multiply
    2,677.17x = 4,015.47 × 828.30
  4. Step 4: Simplify right side
    2,677.17x = 3,326,013.80
  5. Step 5: Solve for x
    x = 3,326,013.80/2,677.17
  6. Step 6: Final answer
    x = 1,242.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.