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Finding the Fourth Proportional to 2,029, 3,042.68 and 988.16

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Solution

The fourth proportional to 2,029, 3,042.68 and 988.16 is: 1,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029 : 3,042.68 = 988.16 : x
  2. Step 2: Convert to fraction form
    2,029/3,042.68 = 988.16/x
  3. Step 3: Cross multiply
    2,029x = 3,042.68 × 988.16
  4. Step 4: Simplify right side
    2,029x = 3,006,654.67
  5. Step 5: Solve for x
    x = 3,006,654.67/2,029
  6. Step 6: Final answer
    x = 1,481.84

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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.