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Finding the Fourth Proportional to 1,680.96, 2,510.03 and 1,330.37

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Solution

The fourth proportional to 1,680.96, 2,510.03 and 1,330.37 is: 1,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.96 : 2,510.03 = 1,330.37 : x
  2. Step 2: Convert to fraction form
    1,680.96/2,510.03 = 1,330.37/x
  3. Step 3: Cross multiply
    1,680.96x = 2,510.03 × 1,330.37
  4. Step 4: Simplify right side
    1,680.96x = 3,339,249.41
  5. Step 5: Solve for x
    x = 3,339,249.41/1,680.96
  6. Step 6: Final answer
    x = 1,986.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.