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Finding the Fourth Proportional to 2,300.24, 3,450.52 and 656.72

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Solution

The fourth proportional to 2,300.24, 3,450.52 and 656.72 is: 985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.24 : 3,450.52 = 656.72 : x
  2. Step 2: Convert to fraction form
    2,300.24/3,450.52 = 656.72/x
  3. Step 3: Cross multiply
    2,300.24x = 3,450.52 × 656.72
  4. Step 4: Simplify right side
    2,300.24x = 2,266,025.49
  5. Step 5: Solve for x
    x = 2,266,025.49/2,300.24
  6. Step 6: Final answer
    x = 985.13

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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.