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Finding the Fourth Proportional to 4,896.66, 7,345.92 and 1,610.70

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Solution

The fourth proportional to 4,896.66, 7,345.92 and 1,610.70 is: 2,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.66 : 7,345.92 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    4,896.66/7,345.92 = 1,610.70/x
  3. Step 3: Cross multiply
    4,896.66x = 7,345.92 × 1,610.70
  4. Step 4: Simplify right side
    4,896.66x = 11,832,073.34
  5. Step 5: Solve for x
    x = 11,832,073.34/4,896.66
  6. Step 6: Final answer
    x = 2,416.36

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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.