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Finding the Fourth Proportional to 3,020.71, 4,532.96 and 1,289.34

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Solution

The fourth proportional to 3,020.71, 4,532.96 and 1,289.34 is: 1,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.71 : 4,532.96 = 1,289.34 : x
  2. Step 2: Convert to fraction form
    3,020.71/4,532.96 = 1,289.34/x
  3. Step 3: Cross multiply
    3,020.71x = 4,532.96 × 1,289.34
  4. Step 4: Simplify right side
    3,020.71x = 5,844,526.65
  5. Step 5: Solve for x
    x = 5,844,526.65/3,020.71
  6. Step 6: Final answer
    x = 1,934.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.