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Finding the Fourth Proportional to 1,921.53, 2,652.10 and 1,258.14

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Solution

The fourth proportional to 1,921.53, 2,652.10 and 1,258.14 is: 1,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.53 : 2,652.10 = 1,258.14 : x
  2. Step 2: Convert to fraction form
    1,921.53/2,652.10 = 1,258.14/x
  3. Step 3: Cross multiply
    1,921.53x = 2,652.10 × 1,258.14
  4. Step 4: Simplify right side
    1,921.53x = 3,336,709.95
  5. Step 5: Solve for x
    x = 3,336,709.95/1,921.53
  6. Step 6: Final answer
    x = 1,736.49

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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.