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Finding the Fourth Proportional to 3,301.44, 4,557 and 1,905.12

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Solution

The fourth proportional to 3,301.44, 4,557 and 1,905.12 is: 2,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.44 : 4,557 = 1,905.12 : x
  2. Step 2: Convert to fraction form
    3,301.44/4,557 = 1,905.12/x
  3. Step 3: Cross multiply
    3,301.44x = 4,557 × 1,905.12
  4. Step 4: Simplify right side
    3,301.44x = 8,681,631.84
  5. Step 5: Solve for x
    x = 8,681,631.84/3,301.44
  6. Step 6: Final answer
    x = 2,629.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.