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Finding the Fourth Proportional to 2,300.29, 3,450.98 and 656.86

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Solution

The fourth proportional to 2,300.29, 3,450.98 and 656.86 is: 985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.29 : 3,450.98 = 656.86 : x
  2. Step 2: Convert to fraction form
    2,300.29/3,450.98 = 656.86/x
  3. Step 3: Cross multiply
    2,300.29x = 3,450.98 × 656.86
  4. Step 4: Simplify right side
    2,300.29x = 2,266,810.72
  5. Step 5: Solve for x
    x = 2,266,810.72/2,300.29
  6. Step 6: Final answer
    x = 985.45

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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.