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Finding the Fourth Proportional to 1,902.27, 2,624.94 and 1,405.20

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Solution

The fourth proportional to 1,902.27, 2,624.94 and 1,405.20 is: 1,939.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.27 : 2,624.94 = 1,405.20 : x
  2. Step 2: Convert to fraction form
    1,902.27/2,624.94 = 1,405.20/x
  3. Step 3: Cross multiply
    1,902.27x = 2,624.94 × 1,405.20
  4. Step 4: Simplify right side
    1,902.27x = 3,688,565.69
  5. Step 5: Solve for x
    x = 3,688,565.69/1,902.27
  6. Step 6: Final answer
    x = 1,939.03

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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.