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Finding the Fourth Proportional to 4,731.01, 7,094.30 and 1,610.17

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Solution

The fourth proportional to 4,731.01, 7,094.30 and 1,610.17 is: 2,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.01 : 7,094.30 = 1,610.17 : x
  2. Step 2: Convert to fraction form
    4,731.01/7,094.30 = 1,610.17/x
  3. Step 3: Cross multiply
    4,731.01x = 7,094.30 × 1,610.17
  4. Step 4: Simplify right side
    4,731.01x = 11,423,003.24
  5. Step 5: Solve for x
    x = 11,423,003.24/4,731.01
  6. Step 6: Final answer
    x = 2,414.50

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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.