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Finding the Fourth Proportional to 2,300.41, 3,449.58 and 656.57

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Solution

The fourth proportional to 2,300.41, 3,449.58 and 656.57 is: 984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.41 : 3,449.58 = 656.57 : x
  2. Step 2: Convert to fraction form
    2,300.41/3,449.58 = 656.57/x
  3. Step 3: Cross multiply
    2,300.41x = 3,449.58 × 656.57
  4. Step 4: Simplify right side
    2,300.41x = 2,264,887.25
  5. Step 5: Solve for x
    x = 2,264,887.25/2,300.41
  6. Step 6: Final answer
    x = 984.56

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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.