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Finding the Fourth Proportional to 2,523.83, 3,787.47 and 880.38

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Solution

The fourth proportional to 2,523.83, 3,787.47 and 880.38 is: 1,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.83 : 3,787.47 = 880.38 : x
  2. Step 2: Convert to fraction form
    2,523.83/3,787.47 = 880.38/x
  3. Step 3: Cross multiply
    2,523.83x = 3,787.47 × 880.38
  4. Step 4: Simplify right side
    2,523.83x = 3,334,412.84
  5. Step 5: Solve for x
    x = 3,334,412.84/2,523.83
  6. Step 6: Final answer
    x = 1,321.17

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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.