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Finding the Fourth Proportional to 2,677.04, 4,015.94 and 828.32

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Solution

The fourth proportional to 2,677.04, 4,015.94 and 828.32 is: 1,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.04 : 4,015.94 = 828.32 : x
  2. Step 2: Convert to fraction form
    2,677.04/4,015.94 = 828.32/x
  3. Step 3: Cross multiply
    2,677.04x = 4,015.94 × 828.32
  4. Step 4: Simplify right side
    2,677.04x = 3,326,463.34
  5. Step 5: Solve for x
    x = 3,326,463.34/2,677.04
  6. Step 6: Final answer
    x = 1,242.59

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Why These Related Problems?

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