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Finding the Fourth Proportional to 2,100.75, 2,899.04 and 1,216.61

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Solution

The fourth proportional to 2,100.75, 2,899.04 and 1,216.61 is: 1,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.75 : 2,899.04 = 1,216.61 : x
  2. Step 2: Convert to fraction form
    2,100.75/2,899.04 = 1,216.61/x
  3. Step 3: Cross multiply
    2,100.75x = 2,899.04 × 1,216.61
  4. Step 4: Simplify right side
    2,100.75x = 3,526,980.48
  5. Step 5: Solve for x
    x = 3,526,980.48/2,100.75
  6. Step 6: Final answer
    x = 1,678.91

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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.