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Finding the Fourth Proportional to 2,101.59, 2,900.59 and 1,205.86

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Solution

The fourth proportional to 2,101.59, 2,900.59 and 1,205.86 is: 1,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.59 : 2,900.59 = 1,205.86 : x
  2. Step 2: Convert to fraction form
    2,101.59/2,900.59 = 1,205.86/x
  3. Step 3: Cross multiply
    2,101.59x = 2,900.59 × 1,205.86
  4. Step 4: Simplify right side
    2,101.59x = 3,497,690.95
  5. Step 5: Solve for x
    x = 3,497,690.95/2,101.59
  6. Step 6: Final answer
    x = 1,664.31

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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.