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Finding the Fourth Proportional to 2,108.63, 2,909.90 and 1,177.13

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Solution

The fourth proportional to 2,108.63, 2,909.90 and 1,177.13 is: 1,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.63 : 2,909.90 = 1,177.13 : x
  2. Step 2: Convert to fraction form
    2,108.63/2,909.90 = 1,177.13/x
  3. Step 3: Cross multiply
    2,108.63x = 2,909.90 × 1,177.13
  4. Step 4: Simplify right side
    2,108.63x = 3,425,318.98
  5. Step 5: Solve for x
    x = 3,425,318.98/2,108.63
  6. Step 6: Final answer
    x = 1,624.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.