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Finding the Fourth Proportional to 2,102.00, 2,901.20 and 1,393.89

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Solution

The fourth proportional to 2,102.00, 2,901.20 and 1,393.89 is: 1,923.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.00 : 2,901.20 = 1,393.89 : x
  2. Step 2: Convert to fraction form
    2,102.00/2,901.20 = 1,393.89/x
  3. Step 3: Cross multiply
    2,102.00x = 2,901.20 × 1,393.89
  4. Step 4: Simplify right side
    2,102.00x = 4,043,959.98
  5. Step 5: Solve for x
    x = 4,043,959.98/2,102.00
  6. Step 6: Final answer
    x = 1,923.86

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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.