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Finding the Fourth Proportional to 2,677.64, 4,017.06 and 828.69

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Solution

The fourth proportional to 2,677.64, 4,017.06 and 828.69 is: 1,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.64 : 4,017.06 = 828.69 : x
  2. Step 2: Convert to fraction form
    2,677.64/4,017.06 = 828.69/x
  3. Step 3: Cross multiply
    2,677.64x = 4,017.06 × 828.69
  4. Step 4: Simplify right side
    2,677.64x = 3,328,897.45
  5. Step 5: Solve for x
    x = 3,328,897.45/2,677.64
  6. Step 6: Final answer
    x = 1,243.22

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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.