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Finding the Fourth Proportional to 1,986.96, 2,980.46 and 688.13

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Solution

The fourth proportional to 1,986.96, 2,980.46 and 688.13 is: 1,032.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.96 : 2,980.46 = 688.13 : x
  2. Step 2: Convert to fraction form
    1,986.96/2,980.46 = 688.13/x
  3. Step 3: Cross multiply
    1,986.96x = 2,980.46 × 688.13
  4. Step 4: Simplify right side
    1,986.96x = 2,050,943.94
  5. Step 5: Solve for x
    x = 2,050,943.94/1,986.96
  6. Step 6: Final answer
    x = 1,032.20

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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.