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Finding the Fourth Proportional to 1,381.88, 1,907.01 and 792.20

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Solution

The fourth proportional to 1,381.88, 1,907.01 and 792.20 is: 1,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.88 : 1,907.01 = 792.20 : x
  2. Step 2: Convert to fraction form
    1,381.88/1,907.01 = 792.20/x
  3. Step 3: Cross multiply
    1,381.88x = 1,907.01 × 792.20
  4. Step 4: Simplify right side
    1,381.88x = 1,510,738.09
  5. Step 5: Solve for x
    x = 1,510,738.09/1,381.88
  6. Step 6: Final answer
    x = 1,093.25

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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.