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Finding the Fourth Proportional to 1,677.64, 2,516.38 and 811.08

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Solution

The fourth proportional to 1,677.64, 2,516.38 and 811.08 is: 1,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.64 : 2,516.38 = 811.08 : x
  2. Step 2: Convert to fraction form
    1,677.64/2,516.38 = 811.08/x
  3. Step 3: Cross multiply
    1,677.64x = 2,516.38 × 811.08
  4. Step 4: Simplify right side
    1,677.64x = 2,040,985.49
  5. Step 5: Solve for x
    x = 2,040,985.49/1,677.64
  6. Step 6: Final answer
    x = 1,216.58

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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.