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Finding the Fourth Proportional to 1,735.56, 2,392.92 and 1,145.16

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Solution

The fourth proportional to 1,735.56, 2,392.92 and 1,145.16 is: 1,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.56 : 2,392.92 = 1,145.16 : x
  2. Step 2: Convert to fraction form
    1,735.56/2,392.92 = 1,145.16/x
  3. Step 3: Cross multiply
    1,735.56x = 2,392.92 × 1,145.16
  4. Step 4: Simplify right side
    1,735.56x = 2,740,276.27
  5. Step 5: Solve for x
    x = 2,740,276.27/1,735.56
  6. Step 6: Final answer
    x = 1,578.90

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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.