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Finding the Fourth Proportional to 1,986.57, 2,980.67 and 687.33

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Solution

The fourth proportional to 1,986.57, 2,980.67 and 687.33 is: 1,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.57 : 2,980.67 = 687.33 : x
  2. Step 2: Convert to fraction form
    1,986.57/2,980.67 = 687.33/x
  3. Step 3: Cross multiply
    1,986.57x = 2,980.67 × 687.33
  4. Step 4: Simplify right side
    1,986.57x = 2,048,700.47
  5. Step 5: Solve for x
    x = 2,048,700.47/1,986.57
  6. Step 6: Final answer
    x = 1,031.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.