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Finding the Fourth Proportional to 2,108.37, 3,162.59 and 952.77

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Solution

The fourth proportional to 2,108.37, 3,162.59 and 952.77 is: 1,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.37 : 3,162.59 = 952.77 : x
  2. Step 2: Convert to fraction form
    2,108.37/3,162.59 = 952.77/x
  3. Step 3: Cross multiply
    2,108.37x = 3,162.59 × 952.77
  4. Step 4: Simplify right side
    2,108.37x = 3,013,220.87
  5. Step 5: Solve for x
    x = 3,013,220.87/2,108.37
  6. Step 6: Final answer
    x = 1,429.17

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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.