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Finding the Fourth Proportional to 1,254.64, 1,880.34 and 1,082.38

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Solution

The fourth proportional to 1,254.64, 1,880.34 and 1,082.38 is: 1,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.64 : 1,880.34 = 1,082.38 : x
  2. Step 2: Convert to fraction form
    1,254.64/1,880.34 = 1,082.38/x
  3. Step 3: Cross multiply
    1,254.64x = 1,880.34 × 1,082.38
  4. Step 4: Simplify right side
    1,254.64x = 2,035,242.41
  5. Step 5: Solve for x
    x = 2,035,242.41/1,254.64
  6. Step 6: Final answer
    x = 1,622.17

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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.