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Finding the Fourth Proportional to 1,372.54, 1,892.55 and 1,106.86

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Solution

The fourth proportional to 1,372.54, 1,892.55 and 1,106.86 is: 1,526.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.54 : 1,892.55 = 1,106.86 : x
  2. Step 2: Convert to fraction form
    1,372.54/1,892.55 = 1,106.86/x
  3. Step 3: Cross multiply
    1,372.54x = 1,892.55 × 1,106.86
  4. Step 4: Simplify right side
    1,372.54x = 2,094,787.89
  5. Step 5: Solve for x
    x = 2,094,787.89/1,372.54
  6. Step 6: Final answer
    x = 1,526.21

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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.