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Finding the Fourth Proportional to 1,988.34, 2,983.16 and 601.72

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Solution

The fourth proportional to 1,988.34, 2,983.16 and 601.72 is: 902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.34 : 2,983.16 = 601.72 : x
  2. Step 2: Convert to fraction form
    1,988.34/2,983.16 = 601.72/x
  3. Step 3: Cross multiply
    1,988.34x = 2,983.16 × 601.72
  4. Step 4: Simplify right side
    1,988.34x = 1,795,027.04
  5. Step 5: Solve for x
    x = 1,795,027.04/1,988.34
  6. Step 6: Final answer
    x = 902.78

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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.