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Finding the Fourth Proportional to 2,425.81, 3,347.88 and 1,431.43

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Solution

The fourth proportional to 2,425.81, 3,347.88 and 1,431.43 is: 1,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.81 : 3,347.88 = 1,431.43 : x
  2. Step 2: Convert to fraction form
    2,425.81/3,347.88 = 1,431.43/x
  3. Step 3: Cross multiply
    2,425.81x = 3,347.88 × 1,431.43
  4. Step 4: Simplify right side
    2,425.81x = 4,792,255.87
  5. Step 5: Solve for x
    x = 4,792,255.87/2,425.81
  6. Step 6: Final answer
    x = 1,975.53

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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.