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Finding the Fourth Proportional to 2,108.52, 2,910.60 and 1,410.84

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Solution

The fourth proportional to 2,108.52, 2,910.60 and 1,410.84 is: 1,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.52 : 2,910.60 = 1,410.84 : x
  2. Step 2: Convert to fraction form
    2,108.52/2,910.60 = 1,410.84/x
  3. Step 3: Cross multiply
    2,108.52x = 2,910.60 × 1,410.84
  4. Step 4: Simplify right side
    2,108.52x = 4,106,390.90
  5. Step 5: Solve for x
    x = 4,106,390.90/2,108.52
  6. Step 6: Final answer
    x = 1,947.52

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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.