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Finding the Fourth Proportional to 1,988.35, 2,982.55 and 601.70

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Solution

The fourth proportional to 1,988.35, 2,982.55 and 601.70 is: 902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.35 : 2,982.55 = 601.70 : x
  2. Step 2: Convert to fraction form
    1,988.35/2,982.55 = 601.70/x
  3. Step 3: Cross multiply
    1,988.35x = 2,982.55 × 601.70
  4. Step 4: Simplify right side
    1,988.35x = 1,794,600.34
  5. Step 5: Solve for x
    x = 1,794,600.34/1,988.35
  6. Step 6: Final answer
    x = 902.56

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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.