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Finding the Fourth Proportional to 2,532.03, 3,798.31 and 683.16

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Solution

The fourth proportional to 2,532.03, 3,798.31 and 683.16 is: 1,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.03 : 3,798.31 = 683.16 : x
  2. Step 2: Convert to fraction form
    2,532.03/3,798.31 = 683.16/x
  3. Step 3: Cross multiply
    2,532.03x = 3,798.31 × 683.16
  4. Step 4: Simplify right side
    2,532.03x = 2,594,853.46
  5. Step 5: Solve for x
    x = 2,594,853.46/2,532.03
  6. Step 6: Final answer
    x = 1,024.81

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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.