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Finding the Fourth Proportional to 2,300.34, 3,450.91 and 841.53

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Solution

The fourth proportional to 2,300.34, 3,450.91 and 841.53 is: 1,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.34 : 3,450.91 = 841.53 : x
  2. Step 2: Convert to fraction form
    2,300.34/3,450.91 = 841.53/x
  3. Step 3: Cross multiply
    2,300.34x = 3,450.91 × 841.53
  4. Step 4: Simplify right side
    2,300.34x = 2,904,024.93
  5. Step 5: Solve for x
    x = 2,904,024.93/2,300.34
  6. Step 6: Final answer
    x = 1,262.44

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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.