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Finding the Fourth Proportional to 2,798.60, 4,189.80 and 2,108.18

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Solution

The fourth proportional to 2,798.60, 4,189.80 and 2,108.18 is: 3,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.60 : 4,189.80 = 2,108.18 : x
  2. Step 2: Convert to fraction form
    2,798.60/4,189.80 = 2,108.18/x
  3. Step 3: Cross multiply
    2,798.60x = 4,189.80 × 2,108.18
  4. Step 4: Simplify right side
    2,798.60x = 8,832,852.56
  5. Step 5: Solve for x
    x = 8,832,852.56/2,798.60
  6. Step 6: Final answer
    x = 3,156.17

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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.