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Finding the Fourth Proportional to 1,735.23, 2,580.54 and 1,680.54

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Solution

The fourth proportional to 1,735.23, 2,580.54 and 1,680.54 is: 2,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.23 : 2,580.54 = 1,680.54 : x
  2. Step 2: Convert to fraction form
    1,735.23/2,580.54 = 1,680.54/x
  3. Step 3: Cross multiply
    1,735.23x = 2,580.54 × 1,680.54
  4. Step 4: Simplify right side
    1,735.23x = 4,336,700.69
  5. Step 5: Solve for x
    x = 4,336,700.69/1,735.23
  6. Step 6: Final answer
    x = 2,499.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.