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Finding the Fourth Proportional to 3,084.63, 4,625.52 and 1,522.87

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Solution

The fourth proportional to 3,084.63, 4,625.52 and 1,522.87 is: 2,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.63 : 4,625.52 = 1,522.87 : x
  2. Step 2: Convert to fraction form
    3,084.63/4,625.52 = 1,522.87/x
  3. Step 3: Cross multiply
    3,084.63x = 4,625.52 × 1,522.87
  4. Step 4: Simplify right side
    3,084.63x = 7,044,056.93
  5. Step 5: Solve for x
    x = 7,044,056.93/3,084.63
  6. Step 6: Final answer
    x = 2,283.60

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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.