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Finding the Fourth Proportional to 1,747.62, 2,409.48 and 1,431.72

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Solution

The fourth proportional to 1,747.62, 2,409.48 and 1,431.72 is: 1,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.62 : 2,409.48 = 1,431.72 : x
  2. Step 2: Convert to fraction form
    1,747.62/2,409.48 = 1,431.72/x
  3. Step 3: Cross multiply
    1,747.62x = 2,409.48 × 1,431.72
  4. Step 4: Simplify right side
    1,747.62x = 3,449,700.71
  5. Step 5: Solve for x
    x = 3,449,700.71/1,747.62
  6. Step 6: Final answer
    x = 1,973.94

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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.