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Finding the Fourth Proportional to 2,101.07, 2,899.86 and 1,216.96

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Solution

The fourth proportional to 2,101.07, 2,899.86 and 1,216.96 is: 1,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.07 : 2,899.86 = 1,216.96 : x
  2. Step 2: Convert to fraction form
    2,101.07/2,899.86 = 1,216.96/x
  3. Step 3: Cross multiply
    2,101.07x = 2,899.86 × 1,216.96
  4. Step 4: Simplify right side
    2,101.07x = 3,529,013.63
  5. Step 5: Solve for x
    x = 3,529,013.63/2,101.07
  6. Step 6: Final answer
    x = 1,679.63

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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.