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Finding the Fourth Proportional to 2,102.52, 2,898.44 and 1,471.09

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Solution

The fourth proportional to 2,102.52, 2,898.44 and 1,471.09 is: 2,027.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.52 : 2,898.44 = 1,471.09 : x
  2. Step 2: Convert to fraction form
    2,102.52/2,898.44 = 1,471.09/x
  3. Step 3: Cross multiply
    2,102.52x = 2,898.44 × 1,471.09
  4. Step 4: Simplify right side
    2,102.52x = 4,263,851.61
  5. Step 5: Solve for x
    x = 4,263,851.61/2,102.52
  6. Step 6: Final answer
    x = 2,027.98

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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.