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Finding the Fourth Proportional to 2,376.94, 3,564.30 and 1,390.04

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Solution

The fourth proportional to 2,376.94, 3,564.30 and 1,390.04 is: 2,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.94 : 3,564.30 = 1,390.04 : x
  2. Step 2: Convert to fraction form
    2,376.94/3,564.30 = 1,390.04/x
  3. Step 3: Cross multiply
    2,376.94x = 3,564.30 × 1,390.04
  4. Step 4: Simplify right side
    2,376.94x = 4,954,519.57
  5. Step 5: Solve for x
    x = 4,954,519.57/2,376.94
  6. Step 6: Final answer
    x = 2,084.41

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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.