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Finding the Fourth Proportional to 2,295.01, 3,443.78 and 1,200.34

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Solution

The fourth proportional to 2,295.01, 3,443.78 and 1,200.34 is: 1,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.01 : 3,443.78 = 1,200.34 : x
  2. Step 2: Convert to fraction form
    2,295.01/3,443.78 = 1,200.34/x
  3. Step 3: Cross multiply
    2,295.01x = 3,443.78 × 1,200.34
  4. Step 4: Simplify right side
    2,295.01x = 4,133,706.89
  5. Step 5: Solve for x
    x = 4,133,706.89/2,295.01
  6. Step 6: Final answer
    x = 1,801.17

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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.