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Finding the Fourth Proportional to 3,102.88, 4,654.92 and 1,461.28

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Solution

The fourth proportional to 3,102.88, 4,654.92 and 1,461.28 is: 2,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.88 : 4,654.92 = 1,461.28 : x
  2. Step 2: Convert to fraction form
    3,102.88/4,654.92 = 1,461.28/x
  3. Step 3: Cross multiply
    3,102.88x = 4,654.92 × 1,461.28
  4. Step 4: Simplify right side
    3,102.88x = 6,802,141.50
  5. Step 5: Solve for x
    x = 6,802,141.50/3,102.88
  6. Step 6: Final answer
    x = 2,192.20

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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.