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Finding the Fourth Proportional to 2,522.51, 3,784.40 and 2,480.66

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Solution

The fourth proportional to 2,522.51, 3,784.40 and 2,480.66 is: 3,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.51 : 3,784.40 = 2,480.66 : x
  2. Step 2: Convert to fraction form
    2,522.51/3,784.40 = 2,480.66/x
  3. Step 3: Cross multiply
    2,522.51x = 3,784.40 × 2,480.66
  4. Step 4: Simplify right side
    2,522.51x = 9,387,787.68
  5. Step 5: Solve for x
    x = 9,387,787.68/2,522.51
  6. Step 6: Final answer
    x = 3,721.60

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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.