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Finding the Fourth Proportional to 2,657.92, 3,986.57 and 710.28

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Solution

The fourth proportional to 2,657.92, 3,986.57 and 710.28 is: 1,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.92 : 3,986.57 = 710.28 : x
  2. Step 2: Convert to fraction form
    2,657.92/3,986.57 = 710.28/x
  3. Step 3: Cross multiply
    2,657.92x = 3,986.57 × 710.28
  4. Step 4: Simplify right side
    2,657.92x = 2,831,561.01
  5. Step 5: Solve for x
    x = 2,831,561.01/2,657.92
  6. Step 6: Final answer
    x = 1,065.33

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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.