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Finding the Fourth Proportional to 1,713.93, 2,349.80 and 1,682.79

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Solution

The fourth proportional to 1,713.93, 2,349.80 and 1,682.79 is: 2,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.93 : 2,349.80 = 1,682.79 : x
  2. Step 2: Convert to fraction form
    1,713.93/2,349.80 = 1,682.79/x
  3. Step 3: Cross multiply
    1,713.93x = 2,349.80 × 1,682.79
  4. Step 4: Simplify right side
    1,713.93x = 3,954,219.94
  5. Step 5: Solve for x
    x = 3,954,219.94/1,713.93
  6. Step 6: Final answer
    x = 2,307.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.