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Finding the Fourth Proportional to 3,089.31, 4,262.84 and 1,762.93

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Solution

The fourth proportional to 3,089.31, 4,262.84 and 1,762.93 is: 2,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.31 : 4,262.84 = 1,762.93 : x
  2. Step 2: Convert to fraction form
    3,089.31/4,262.84 = 1,762.93/x
  3. Step 3: Cross multiply
    3,089.31x = 4,262.84 × 1,762.93
  4. Step 4: Simplify right side
    3,089.31x = 7,515,090.36
  5. Step 5: Solve for x
    x = 7,515,090.36/3,089.31
  6. Step 6: Final answer
    x = 2,432.61

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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.