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Finding the Fourth Proportional to 2,709.90, 4,060.53 and 1,735.20

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Solution

The fourth proportional to 2,709.90, 4,060.53 and 1,735.20 is: 2,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.90 : 4,060.53 = 1,735.20 : x
  2. Step 2: Convert to fraction form
    2,709.90/4,060.53 = 1,735.20/x
  3. Step 3: Cross multiply
    2,709.90x = 4,060.53 × 1,735.20
  4. Step 4: Simplify right side
    2,709.90x = 7,045,831.66
  5. Step 5: Solve for x
    x = 7,045,831.66/2,709.90
  6. Step 6: Final answer
    x = 2,600.03

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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.