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Finding the Fourth Proportional to 1,988.10, 2,982.54 and 601.38

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Solution

The fourth proportional to 1,988.10, 2,982.54 and 601.38 is: 902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.10 : 2,982.54 = 601.38 : x
  2. Step 2: Convert to fraction form
    1,988.10/2,982.54 = 601.38/x
  3. Step 3: Cross multiply
    1,988.10x = 2,982.54 × 601.38
  4. Step 4: Simplify right side
    1,988.10x = 1,793,639.91
  5. Step 5: Solve for x
    x = 1,793,639.91/1,988.10
  6. Step 6: Final answer
    x = 902.19

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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.