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Finding the Fourth Proportional to 2,084.60, 3,127.02 and 786.04

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Solution

The fourth proportional to 2,084.60, 3,127.02 and 786.04 is: 1,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.60 : 3,127.02 = 786.04 : x
  2. Step 2: Convert to fraction form
    2,084.60/3,127.02 = 786.04/x
  3. Step 3: Cross multiply
    2,084.60x = 3,127.02 × 786.04
  4. Step 4: Simplify right side
    2,084.60x = 2,457,962.80
  5. Step 5: Solve for x
    x = 2,457,962.80/2,084.60
  6. Step 6: Final answer
    x = 1,179.11

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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.