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Finding the Fourth Proportional to 2,522.84, 3,783.65 and 791.46

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Solution

The fourth proportional to 2,522.84, 3,783.65 and 791.46 is: 1,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.84 : 3,783.65 = 791.46 : x
  2. Step 2: Convert to fraction form
    2,522.84/3,783.65 = 791.46/x
  3. Step 3: Cross multiply
    2,522.84x = 3,783.65 × 791.46
  4. Step 4: Simplify right side
    2,522.84x = 2,994,603.67
  5. Step 5: Solve for x
    x = 2,994,603.67/2,522.84
  6. Step 6: Final answer
    x = 1,187.00

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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.