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Finding the Fourth Proportional to 2,100.80, 2,899.09 and 1,156.68

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Solution

The fourth proportional to 2,100.80, 2,899.09 and 1,156.68 is: 1,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.80 : 2,899.09 = 1,156.68 : x
  2. Step 2: Convert to fraction form
    2,100.80/2,899.09 = 1,156.68/x
  3. Step 3: Cross multiply
    2,100.80x = 2,899.09 × 1,156.68
  4. Step 4: Simplify right side
    2,100.80x = 3,353,299.14
  5. Step 5: Solve for x
    x = 3,353,299.14/2,100.80
  6. Step 6: Final answer
    x = 1,596.20

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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.