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Finding the Fourth Proportional to 2,300.84, 3,451.90 and 741.09

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Solution

The fourth proportional to 2,300.84, 3,451.90 and 741.09 is: 1,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.84 : 3,451.90 = 741.09 : x
  2. Step 2: Convert to fraction form
    2,300.84/3,451.90 = 741.09/x
  3. Step 3: Cross multiply
    2,300.84x = 3,451.90 × 741.09
  4. Step 4: Simplify right side
    2,300.84x = 2,558,168.57
  5. Step 5: Solve for x
    x = 2,558,168.57/2,300.84
  6. Step 6: Final answer
    x = 1,111.84

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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.