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Finding the Fourth Proportional to 1,713.85, 2,365.10 and 927.90

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Solution

The fourth proportional to 1,713.85, 2,365.10 and 927.90 is: 1,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.85 : 2,365.10 = 927.90 : x
  2. Step 2: Convert to fraction form
    1,713.85/2,365.10 = 927.90/x
  3. Step 3: Cross multiply
    1,713.85x = 2,365.10 × 927.90
  4. Step 4: Simplify right side
    1,713.85x = 2,194,576.29
  5. Step 5: Solve for x
    x = 2,194,576.29/1,713.85
  6. Step 6: Final answer
    x = 1,280.49

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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.