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Finding the Fourth Proportional to 3,089.34, 4,262.90 and 1,762.70

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Solution

The fourth proportional to 3,089.34, 4,262.90 and 1,762.70 is: 2,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.34 : 4,262.90 = 1,762.70 : x
  2. Step 2: Convert to fraction form
    3,089.34/4,262.90 = 1,762.70/x
  3. Step 3: Cross multiply
    3,089.34x = 4,262.90 × 1,762.70
  4. Step 4: Simplify right side
    3,089.34x = 7,514,183.70
  5. Step 5: Solve for x
    x = 7,514,183.70/3,089.34
  6. Step 6: Final answer
    x = 2,432.29

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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.