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Finding the Fourth Proportional to 2,108.35, 3,160.18 and 790.84

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Solution

The fourth proportional to 2,108.35, 3,160.18 and 790.84 is: 1,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.35 : 3,160.18 = 790.84 : x
  2. Step 2: Convert to fraction form
    2,108.35/3,160.18 = 790.84/x
  3. Step 3: Cross multiply
    2,108.35x = 3,160.18 × 790.84
  4. Step 4: Simplify right side
    2,108.35x = 2,499,196.75
  5. Step 5: Solve for x
    x = 2,499,196.75/2,108.35
  6. Step 6: Final answer
    x = 1,185.38

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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.