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Finding the Fourth Proportional to 1,986.17, 2,980.07 and 688.55

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Solution

The fourth proportional to 1,986.17, 2,980.07 and 688.55 is: 1,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.17 : 2,980.07 = 688.55 : x
  2. Step 2: Convert to fraction form
    1,986.17/2,980.07 = 688.55/x
  3. Step 3: Cross multiply
    1,986.17x = 2,980.07 × 688.55
  4. Step 4: Simplify right side
    1,986.17x = 2,051,908.86
  5. Step 5: Solve for x
    x = 2,051,908.86/1,986.17
  6. Step 6: Final answer
    x = 1,033.10

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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.