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Finding the Fourth Proportional to 3,107.42, 4,287.27 and 1,762.81

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Solution

The fourth proportional to 3,107.42, 4,287.27 and 1,762.81 is: 2,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.42 : 4,287.27 = 1,762.81 : x
  2. Step 2: Convert to fraction form
    3,107.42/4,287.27 = 1,762.81/x
  3. Step 3: Cross multiply
    3,107.42x = 4,287.27 × 1,762.81
  4. Step 4: Simplify right side
    3,107.42x = 7,557,636.12
  5. Step 5: Solve for x
    x = 7,557,636.12/3,107.42
  6. Step 6: Final answer
    x = 2,432.13

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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.