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Finding the Fourth Proportional to 3,235.70, 4,463.61 and 2,102.96

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Solution

The fourth proportional to 3,235.70, 4,463.61 and 2,102.96 is: 2,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.70 : 4,463.61 = 2,102.96 : x
  2. Step 2: Convert to fraction form
    3,235.70/4,463.61 = 2,102.96/x
  3. Step 3: Cross multiply
    3,235.70x = 4,463.61 × 2,102.96
  4. Step 4: Simplify right side
    3,235.70x = 9,386,793.29
  5. Step 5: Solve for x
    x = 9,386,793.29/3,235.70
  6. Step 6: Final answer
    x = 2,901.01

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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.