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Finding the Fourth Proportional to 1,988.55, 2,982.24 and 947.97

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Solution

The fourth proportional to 1,988.55, 2,982.24 and 947.97 is: 1,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.55 : 2,982.24 = 947.97 : x
  2. Step 2: Convert to fraction form
    1,988.55/2,982.24 = 947.97/x
  3. Step 3: Cross multiply
    1,988.55x = 2,982.24 × 947.97
  4. Step 4: Simplify right side
    1,988.55x = 2,827,074.05
  5. Step 5: Solve for x
    x = 2,827,074.05/1,988.55
  6. Step 6: Final answer
    x = 1,421.68

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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.