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Finding the Fourth Proportional to 2,522.84, 3,787.98 and 1,981.64

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Solution

The fourth proportional to 2,522.84, 3,787.98 and 1,981.64 is: 2,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.84 : 3,787.98 = 1,981.64 : x
  2. Step 2: Convert to fraction form
    2,522.84/3,787.98 = 1,981.64/x
  3. Step 3: Cross multiply
    2,522.84x = 3,787.98 × 1,981.64
  4. Step 4: Simplify right side
    2,522.84x = 7,506,412.69
  5. Step 5: Solve for x
    x = 7,506,412.69/2,522.84
  6. Step 6: Final answer
    x = 2,975.38

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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.