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Finding the Fourth Proportional to 1,735.32, 2,601.77 and 1,463.16

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Solution

The fourth proportional to 1,735.32, 2,601.77 and 1,463.16 is: 2,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.32 : 2,601.77 = 1,463.16 : x
  2. Step 2: Convert to fraction form
    1,735.32/2,601.77 = 1,463.16/x
  3. Step 3: Cross multiply
    1,735.32x = 2,601.77 × 1,463.16
  4. Step 4: Simplify right side
    1,735.32x = 3,806,805.79
  5. Step 5: Solve for x
    x = 3,806,805.79/1,735.32
  6. Step 6: Final answer
    x = 2,193.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.