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Finding the Fourth Proportional to 1,922.00, 2,652.35 and 1,082.72

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Solution

The fourth proportional to 1,922.00, 2,652.35 and 1,082.72 is: 1,494.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.00 : 2,652.35 = 1,082.72 : x
  2. Step 2: Convert to fraction form
    1,922.00/2,652.35 = 1,082.72/x
  3. Step 3: Cross multiply
    1,922.00x = 2,652.35 × 1,082.72
  4. Step 4: Simplify right side
    1,922.00x = 2,871,753.61
  5. Step 5: Solve for x
    x = 2,871,753.61/1,922.00
  6. Step 6: Final answer
    x = 1,494.15

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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.