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Finding the Fourth Proportional to 1,782.51, 2,672.70 and 685.97

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Solution

The fourth proportional to 1,782.51, 2,672.70 and 685.97 is: 1,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.51 : 2,672.70 = 685.97 : x
  2. Step 2: Convert to fraction form
    1,782.51/2,672.70 = 685.97/x
  3. Step 3: Cross multiply
    1,782.51x = 2,672.70 × 685.97
  4. Step 4: Simplify right side
    1,782.51x = 1,833,386.11
  5. Step 5: Solve for x
    x = 1,833,386.11/1,782.51
  6. Step 6: Final answer
    x = 1,028.54

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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.