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Finding the Fourth Proportional to 2,905.13, 4,358.43 and 825.14

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Solution

The fourth proportional to 2,905.13, 4,358.43 and 825.14 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.13 : 4,358.43 = 825.14 : x
  2. Step 2: Convert to fraction form
    2,905.13/4,358.43 = 825.14/x
  3. Step 3: Cross multiply
    2,905.13x = 4,358.43 × 825.14
  4. Step 4: Simplify right side
    2,905.13x = 3,596,314.93
  5. Step 5: Solve for x
    x = 3,596,314.93/2,905.13
  6. Step 6: Final answer
    x = 1,237.92

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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.