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Finding the Fourth Proportional to 2,148.56, 2,965.14 and 1,204.31

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Solution

The fourth proportional to 2,148.56, 2,965.14 and 1,204.31 is: 1,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.56 : 2,965.14 = 1,204.31 : x
  2. Step 2: Convert to fraction form
    2,148.56/2,965.14 = 1,204.31/x
  3. Step 3: Cross multiply
    2,148.56x = 2,965.14 × 1,204.31
  4. Step 4: Simplify right side
    2,148.56x = 3,570,950.21
  5. Step 5: Solve for x
    x = 3,570,950.21/2,148.56
  6. Step 6: Final answer
    x = 1,662.02

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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.