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Finding the Fourth Proportional to 1,677.78, 2,315.44 and 931.82

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Solution

The fourth proportional to 1,677.78, 2,315.44 and 931.82 is: 1,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.78 : 2,315.44 = 931.82 : x
  2. Step 2: Convert to fraction form
    1,677.78/2,315.44 = 931.82/x
  3. Step 3: Cross multiply
    1,677.78x = 2,315.44 × 931.82
  4. Step 4: Simplify right side
    1,677.78x = 2,157,568.64
  5. Step 5: Solve for x
    x = 2,157,568.64/1,677.78
  6. Step 6: Final answer
    x = 1,285.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.