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Finding the Fourth Proportional to 2,084.38, 3,126.54 and 786.13

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Solution

The fourth proportional to 2,084.38, 3,126.54 and 786.13 is: 1,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.38 : 3,126.54 = 786.13 : x
  2. Step 2: Convert to fraction form
    2,084.38/3,126.54 = 786.13/x
  3. Step 3: Cross multiply
    2,084.38x = 3,126.54 × 786.13
  4. Step 4: Simplify right side
    2,084.38x = 2,457,866.89
  5. Step 5: Solve for x
    x = 2,457,866.89/2,084.38
  6. Step 6: Final answer
    x = 1,179.18

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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.